Solve for y (-2)y/-2=4(-2)

$(- 2) \frac{y}{- 2} = 4 (- 2)$

Step 1

Simplify.

Combine $- 2$ and $\frac{y}{- 2}$ .

$\frac{- 2 y}{- 2} = 4 (- 2)$

Multiply $4$ by $- 2$ .

$\frac{- 2 y}{- 2} = - 8$

Step 2

Divide each term in $\frac{- 2 y}{- 2} = - 8$ by $- 2$ and simplify.

Divide each term in $\frac{- 2 y}{- 2} = - 8$ by $- 2$ .

$\frac{\frac{- 2 y}{- 2}}{- 2} = \frac{- 8}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{\frac{- 2 y}{- 2}}{- 2} = \frac{- 8}{- 2}$

Divide $y$ by $1$ .

$\frac{y}{- 2} = \frac{- 8}{- 2}$

Move the negative in front of the fraction.

$- \frac{y}{2} = \frac{- 8}{- 2}$

Simplify the right side.

Divide $- 8$ by $- 2$ .

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

Step 3

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{y}{2}) = - 2 \cdot 4$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{y}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{y}{2}$ into the numerator.

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

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- y}{2} = - 2 \cdot 4$

Cancel the common factor.

$2 \cdot - 1 \frac{- y}{2} = - 2 \cdot 4$

Rewrite the expression.

$- - y = - 2 \cdot 4$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 y = - 2 \cdot 4$

Multiply $y$ by $1$ .

$y = - 2 \cdot 4$

Simplify the right side.

Multiply $- 2$ by $4$ .

$y = - 8$

Solve for y (-2)y/-2=4(-2)

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