Expand the Trigonometric Expression 5(y-2)+2(y-3)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $5$ by $- 2$ .

$5 y - 10 + 2 (y - 3)$

Apply the distributive property.

$5 y - 10 + 2 y + 2 \cdot - 3$

Multiply $2$ by $- 3$ .

$5 y - 10 + 2 y - 6$

Step 2

Simplify by adding terms.

Add $5 y$ and $2 y$ .

$7 y - 10 - 6$

Subtract $6$ from $- 10$ .

$7 y - 16$