Expand the Trigonometric Expression 2(3y+6)-3(-4-y)

$2 (3 y + 6) - 3 (- 4 - y)$

Step 1

Simplify each term.

Apply the distributive property.

$2 (3 y) + 2 \cdot 6 - 3 (- 4 - y)$

Multiply $3$ by $2$ .

$6 y + 2 \cdot 6 - 3 (- 4 - y)$

Multiply $2$ by $6$ .

$6 y + 12 - 3 (- 4 - y)$

Apply the distributive property.

$6 y + 12 - 3 \cdot - 4 - 3 (- y)$

Multiply $- 3$ by $- 4$ .

$6 y + 12 + 12 - 3 (- y)$

Multiply $- 1$ by $- 3$ .

$6 y + 12 + 12 + 3 y$

$6 y + 12 + 12 + 3 y$

Step 2

Simplify by adding terms.

Add $6 y$ and $3 y$ .

$9 y + 12 + 12$

Add $12$ and $12$ .

$9 y + 24$

$9 y + 24$

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