Solved on Jan 19, 2024

Solve for $y$ in the linear equation $3y - 8y = 25$ .

STEP 1

Assumptions
1. We are given the equation $3y - 8y = 25$ .
2. We need to solve for the variable $y$ .

STEP 2

Combine like terms on the left side of the equation. Since both terms contain the variable $y$ , we can add or subtract them as coefficients.
$3y - 8y$

STEP 3

Subtract the coefficients.
$3y - 8y = (3 - 8)y$

STEP 4

Calculate the result of the subtraction.
$(3 - 8)y = -5y$

STEP 5

Rewrite the original equation with the combined like terms.
$-5y = 25$

STEP 6

To solve for $y$ , we need to isolate the variable. This means we need to divide both sides of the equation by the coefficient of $y$ , which is $-5$ .
$\frac{-5y}{-5} = \frac{25}{-5}$

STEP 7

Perform the division on both sides.
$y = -5$
The solution to the equation $3y - 8y = 25$ is $y = -5$ .

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Solve for $y$ in the linear equation $3y - 8y = 25$ .

STEP 1

Assumptions
1. We are given the equation $3y - 8y = 25$ .
2. We need to solve for the variable $y$ .

STEP 2

Combine like terms on the left side of the equation. Since both terms contain the variable $y$ , we can add or subtract them as coefficients.
$3y - 8y$

STEP 3

Subtract the coefficients.
$3y - 8y = (3 - 8)y$

STEP 4

Calculate the result of the subtraction.
$(3 - 8)y = -5y$

STEP 5

Rewrite the original equation with the combined like terms.
$-5y = 25$

STEP 6

To solve for $y$ , we need to isolate the variable. This means we need to divide both sides of the equation by the coefficient of $y$ , which is $-5$ .
$\frac{-5y}{-5} = \frac{25}{-5}$

STEP 7

Perform the division on both sides.
$y = -5$
The solution to the equation $3y - 8y = 25$ is $y = -5$ .

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Solve for yyy in the linear equation 3y−8y=253y - 8y = 253y−8y=25.

STEP 1

Assumptions1. We are given the equation 3y−8y=253y - 8y = 253y−8y=25.2. We need to solve for the variable yyy.

STEP 2

Combine like terms on the left side of the equation. Since both terms contain the variable yyy, we can add or subtract them as coefficients.3y−8y3y - 8y3y−8y

STEP 3

Subtract the coefficients.3y−8y=(3−8)y3y - 8y = (3 - 8)y3y−8y=(3−8)y

STEP 4

Calculate the result of the subtraction.(3−8)y=−5y(3 - 8)y = -5y(3−8)y=−5y

STEP 5

Rewrite the original equation with the combined like terms.−5y=25-5y = 25−5y=25

STEP 6

To solve for yyy, we need to isolate the variable. This means we need to divide both sides of the equation by the coefficient of yyy, which is −5-5−5.−5y−5=25−5\frac{-5y}{-5} = \frac{25}{-5}−5−5y​=−525​

STEP 7

Perform the division on both sides.y=−5y = -5y=−5The solution to the equation 3y−8y=253y - 8y = 253y−8y=25 is y=−5y = -5y=−5.

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

Solve for $y$ in the linear equation $3y - 8y = 25$ .

Assumptions
1. We are given the equation $3y - 8y = 25$ .
2. We need to solve for the variable $y$ .

Combine like terms on the left side of the equation. Since both terms contain the variable $y$ , we can add or subtract them as coefficients.
$3y - 8y$

Subtract the coefficients.
$3y - 8y = (3 - 8)y$

Calculate the result of the subtraction.
$(3 - 8)y = -5y$

Rewrite the original equation with the combined like terms.
$-5y = 25$

To solve for $y$ , we need to isolate the variable. This means we need to divide both sides of the equation by the coefficient of $y$ , which is $-5$ .
$\frac{-5y}{-5} = \frac{25}{-5}$

Perform the division on both sides.
$y = -5$
The solution to the equation $3y - 8y = 25$ is $y = -5$ .