Simplify -y(-2y-8)+7(-2-2y)

$- y (- 2 y - 8) + 7 (- 2 - 2 y)$

Step 1

Simplify each term.

Apply the distributive property.

$- y (- 2 y) - y \cdot - 8 + 7 (- 2 - 2 y)$

Rewrite using the commutative property of multiplication.

$- 1 \cdot - 2 y \cdot y - y \cdot - 8 + 7 (- 2 - 2 y)$

Multiply $- 8$ by $- 1$ .

$- 1 \cdot - 2 y \cdot y + 8 y + 7 (- 2 - 2 y)$

Simplify each term.

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$- 1 \cdot - 2 (y \cdot y) + 8 y + 7 (- 2 - 2 y)$

Multiply $y$ by $y$ .

$- 1 \cdot - 2 y^{2} + 8 y + 7 (- 2 - 2 y)$

Multiply $- 1$ by $- 2$ .

$2 y^{2} + 8 y + 7 (- 2 - 2 y)$

Apply the distributive property.

$2 y^{2} + 8 y + 7 \cdot - 2 + 7 (- 2 y)$

Multiply $7$ by $- 2$ .

$2 y^{2} + 8 y - 14 + 7 (- 2 y)$

Multiply $- 2$ by $7$ .

$2 y^{2} + 8 y - 14 - 14 y$

Step 2

Subtract $14 y$ from $8 y$ .

$2 y^{2} - 6 y - 14$