Simplify 3(2y-8)-2y(5-y)

$3 (2 y - 8) - 2 y (5 - y)$

Simplify each term.

Apply the distributive property.

$3 (2 y) + 3 \cdot - 8 - 2 y (5 - y)$

Multiply $2$ by $3$ .

$6 y + 3 \cdot - 8 - 2 y (5 - y)$

Multiply $3$ by $- 8$ .

$6 y - 24 - 2 y (5 - y)$

Apply the distributive property.

$6 y - 24 - 2 y \cdot 5 - 2 y (- y)$

Multiply $5$ by $- 2$ .

$6 y - 24 - 10 y - 2 y (- y)$

Rewrite using the commutative property of multiplication.

$6 y - 24 - 10 y - 2 \cdot - 1 y \cdot y$

Simplify each term.

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

Move $y$ .

$6 y - 24 - 10 y - 2 \cdot - 1 (y \cdot y)$

Multiply $y$ by $y$ .

$6 y - 24 - 10 y - 2 \cdot - 1 y^{2}$

$6 y - 24 - 10 y - 2 \cdot - 1 y^{2}$

Multiply $- 2$ by $- 1$ .

$6 y - 24 - 10 y + 2 y^{2}$

$6 y - 24 - 10 y + 2 y^{2}$

$6 y - 24 - 10 y + 2 y^{2}$

Simplify by adding terms.

Subtract $10 y$ from $6 y$ .

$- 4 y - 24 + 2 y^{2}$

Simplify the expression.

Move $- 24$ .

$- 4 y + 2 y^{2} - 24$

Reorder $- 4 y$ and $2 y^{2}$ .

$2 y^{2} - 4 y - 24$

$2 y^{2} - 4 y - 24$

$2 y^{2} - 4 y - 24$

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