Solved on Jan 16, 2024

Solve the linear equation: $-86 = -8y + 2$

STEP 1

Assumptions
1. We have the equation $-86 = -8y + 2$ .
2. We need to solve for the variable $y$ .

STEP 2

First, we need to isolate the term containing $y$ on one side of the equation. We can do this by moving the constant term on the right side of the equation to the left side.
$-86 - 2 = -8y + 2 - 2$

STEP 3

Perform the subtraction on the left side of the equation.
$-86 - 2 = -8y$

STEP 4

Combine the constants on the left side.
$-88 = -8y$

STEP 5

Now, we need to solve for $y$ by isolating it. We can do this by dividing both sides of the equation by the coefficient of $y$ , which is $-8$ .
$\frac{-88}{-8} = \frac{-8y}{-8}$

STEP 6

Perform the division on both sides.
$y = \frac{-88}{-8}$

STEP 7

Simplify the fraction to find the value of $y$ .
$y = 11$
The solution to the equation $-86 = -8y + 2$ is $y = 11$ .

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Solve the linear equation: $-86 = -8y + 2$

STEP 1

Assumptions
1. We have the equation $-86 = -8y + 2$ .
2. We need to solve for the variable $y$ .

STEP 2

First, we need to isolate the term containing $y$ on one side of the equation. We can do this by moving the constant term on the right side of the equation to the left side.
$-86 - 2 = -8y + 2 - 2$

STEP 3

Perform the subtraction on the left side of the equation.
$-86 - 2 = -8y$

STEP 4

Combine the constants on the left side.
$-88 = -8y$

STEP 5

Now, we need to solve for $y$ by isolating it. We can do this by dividing both sides of the equation by the coefficient of $y$ , which is $-8$ .
$\frac{-88}{-8} = \frac{-8y}{-8}$

STEP 6

Perform the division on both sides.
$y = \frac{-88}{-8}$

STEP 7

Simplify the fraction to find the value of $y$ .
$y = 11$
The solution to the equation $-86 = -8y + 2$ is $y = 11$ .

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Solve the linear equation: −86=−8y+2-86 = -8y + 2−86=−8y+2

STEP 1

Assumptions1. We have the equation −86=−8y+2-86 = -8y + 2−86=−8y+2.2. We need to solve for the variable yyy.

STEP 2

First, we need to isolate the term containing yyy on one side of the equation. We can do this by moving the constant term on the right side of the equation to the left side.−86−2=−8y+2−2-86 - 2 = -8y + 2 - 2−86−2=−8y+2−2

STEP 3

Perform the subtraction on the left side of the equation.−86−2=−8y-86 - 2 = -8y−86−2=−8y

STEP 4

Combine the constants on the left side.−88=−8y-88 = -8y−88=−8y

STEP 5

Now, we need to solve for yyy by isolating it. We can do this by dividing both sides of the equation by the coefficient of yyy, which is −8-8−8.−88−8=−8y−8\frac{-88}{-8} = \frac{-8y}{-8}−8−88​=−8−8y​

STEP 6

Perform the division on both sides.y=−88−8y = \frac{-88}{-8}y=−8−88​

STEP 7

Simplify the fraction to find the value of yyy.y=11y = 11y=11The solution to the equation −86=−8y+2-86 = -8y + 2−86=−8y+2 is y=11y = 11y=11.

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

Solve the linear equation: $-86 = -8y + 2$

Assumptions
1. We have the equation $-86 = -8y + 2$ .
2. We need to solve for the variable $y$ .

First, we need to isolate the term containing $y$ on one side of the equation. We can do this by moving the constant term on the right side of the equation to the left side.
$-86 - 2 = -8y + 2 - 2$

Perform the subtraction on the left side of the equation.
$-86 - 2 = -8y$

Combine the constants on the left side.
$-88 = -8y$

Now, we need to solve for $y$ by isolating it. We can do this by dividing both sides of the equation by the coefficient of $y$ , which is $-8$ .
$\frac{-88}{-8} = \frac{-8y}{-8}$

Perform the division on both sides.
$y = \frac{-88}{-8}$

Simplify the fraction to find the value of $y$ .
$y = 11$
The solution to the equation $-86 = -8y + 2$ is $y = 11$ .