Write in y=mx+b Form -12+8y=-32

$- 12 + 8 y = - 32$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Move all terms not containing $y$ to the right side of the equation.

Add $12$ to both sides of the equation.

$8 y = - 32 + 12$

Add $- 32$ and $12$ .

$8 y = - 20$

Divide each term in $8 y = - 20$ by $8$ and simplify.

Divide each term in $8 y = - 20$ by $8$ .

$\frac{8 y}{8} = \frac{- 20}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{- 20}{8}$

Divide $y$ by $1$ .

$y = \frac{- 20}{8}$

Simplify the right side.

Cancel the common factor of $- 20$ and $8$ .

Factor $4$ out of $- 20$ .

$y = \frac{4 (- 5)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$y = \frac{4 \cdot - 5}{4 \cdot 2}$

Cancel the common factor.

$y = \frac{4 \cdot - 5}{4 \cdot 2}$

Rewrite the expression.

$y = \frac{- 5}{2}$

Move the negative in front of the fraction.

$y = - \frac{5}{2}$