Math / Algebra

QuestionSolve for $y$ . $-30=4 y+2(y+6)$
Simplify your answer as much as possible. $y=$

Studdy Solution

STEP 1

1. The equation $-30 = 4y + 2(y + 6)$ is asking us to solve for $y$ .
2. The equation involves basic algebraic operations, including distribution and combining like terms.
3. The solution should be simplified as much as possible.

STEP 2

1. Distribute and simplify the terms on the right-hand side.
2. Combine like terms.
3. Isolate the variable $y$ by performing algebraic operations.
4. Simplify the solution.

STEP 3

Distribute the $2$ into the terms inside the parentheses:
$-30 = 4y + 2(y + 6) = 4y + 2y + 12$

STEP 4

Combine like terms on the right-hand side:
$-30 = (4y + 2y) + 12 = 6y + 12$

STEP 5

Subtract $12$ from both sides to begin isolating $y$ :
$-30 - 12 = 6y + 12 - 12$
$-42 = 6y$

STEP 6

Divide both sides by $6$ to solve for $y$ :
$\frac{-42}{6} = \frac{6y}{6}$
$y = -7$

STEP 7

The solution is simplified as much as possible:
$y = -7$

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QuestionSolve for $y$ . $-30=4 y+2(y+6)$
Simplify your answer as much as possible. $y=$

Studdy Solution

STEP 1

1. The equation $-30 = 4y + 2(y + 6)$ is asking us to solve for $y$ .
2. The equation involves basic algebraic operations, including distribution and combining like terms.
3. The solution should be simplified as much as possible.

STEP 2

1. Distribute and simplify the terms on the right-hand side.
2. Combine like terms.
3. Isolate the variable $y$ by performing algebraic operations.
4. Simplify the solution.

STEP 3

Distribute the $2$ into the terms inside the parentheses:
$-30 = 4y + 2(y + 6) = 4y + 2y + 12$

STEP 4

Combine like terms on the right-hand side:
$-30 = (4y + 2y) + 12 = 6y + 12$

STEP 5

Subtract $12$ from both sides to begin isolating $y$ :
$-30 - 12 = 6y + 12 - 12$
$-42 = 6y$

STEP 6

Divide both sides by $6$ to solve for $y$ :
$\frac{-42}{6} = \frac{6y}{6}$
$y = -7$

STEP 7

The solution is simplified as much as possible:
$y = -7$

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QuestionSolve for yyy. −30=4y+2(y+6)-30=4 y+2(y+6)−30=4y+2(y+6)Simplify your answer as much as possible. y=y=y=

Studdy Solution

STEP 1

1. The equation −30=4y+2(y+6) -30 = 4y + 2(y + 6) −30=4y+2(y+6) is asking us to solve for y y y.2. The equation involves basic algebraic operations, including distribution and combining like terms.3. The solution should be simplified as much as possible.

STEP 2

1. Distribute and simplify the terms on the right-hand side.2. Combine like terms.3. Isolate the variable y y y by performing algebraic operations.4. Simplify the solution.

STEP 3

Distribute the 2 2 2 into the terms inside the parentheses:−30=4y+2(y+6)=4y+2y+12 -30 = 4y + 2(y + 6) = 4y + 2y + 12 −30=4y+2(y+6)=4y+2y+12

STEP 4

Combine like terms on the right-hand side:−30=(4y+2y)+12=6y+12 -30 = (4y + 2y) + 12 = 6y + 12 −30=(4y+2y)+12=6y+12

STEP 5

Subtract 12 12 12 from both sides to begin isolating y y y:−30−12=6y+12−12 -30 - 12 = 6y + 12 - 12 −30−12=6y+12−12−42=6y -42 = 6y −42=6y

STEP 6

Divide both sides by 6 6 6 to solve for y y y:−426=6y6 \frac{-42}{6} = \frac{6y}{6} 6−42​=66y​y=−7 y = -7 y=−7

STEP 7

The solution is simplified as much as possible:y=−7 y = -7 y=−7

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve for $y$ . $-30=4 y+2(y+6)$
Simplify your answer as much as possible. $y=$

1. The equation $-30 = 4y + 2(y + 6)$ is asking us to solve for $y$ .
2. The equation involves basic algebraic operations, including distribution and combining like terms.
3. The solution should be simplified as much as possible.

1. Distribute and simplify the terms on the right-hand side.
2. Combine like terms.
3. Isolate the variable $y$ by performing algebraic operations.
4. Simplify the solution.

Distribute the $2$ into the terms inside the parentheses:
$-30 = 4y + 2(y + 6) = 4y + 2y + 12$

Combine like terms on the right-hand side:
$-30 = (4y + 2y) + 12 = 6y + 12$

Subtract $12$ from both sides to begin isolating $y$ :
$-30 - 12 = 6y + 12 - 12$
$-42 = 6y$

Divide both sides by $6$ to solve for $y$ :
$\frac{-42}{6} = \frac{6y}{6}$
$y = -7$

The solution is simplified as much as possible:
$y = -7$