Evaluate 5(2-y)+y=-6

$5 (2 - y) + y = - 6$

Simplify $5 (2 - y) + y$ .

Simplify each term.

Apply the distributive property.

$5 \cdot 2 + 5 (- y) + y = - 6$

Multiply $5$ by $2$ .

$10 + 5 (- y) + y = - 6$

Multiply $- 1$ by $5$ .

$10 - 5 y + y = - 6$

Add $- 5 y$ and $y$ .

$10 - 4 y = - 6$

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

Subtract $10$ from both sides of the equation.

$- 4 y = - 6 - 10$

Subtract $10$ from $- 6$ .

$- 4 y = - 16$

Divide each term in $- 4 y = - 16$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 16$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 16}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 16}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 16}{- 4}$

Simplify the right side.

Divide $- 16$ by $- 4$ .

$y = 4$