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

$(3 y + 8 y^{2} + 2) - 3 (y^{2} - 2 y + 5)$

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $- 2$ by $- 3$ .

$3 y + 8 y^{2} + 2 - 3 y^{2} + 6 y - 3 \cdot 5$

Multiply $- 3$ by $5$ .

$3 y + 8 y^{2} + 2 - 3 y^{2} + 6 y - 15$

Simplify by adding terms.

Add $3 y$ and $6 y$ .

$8 y^{2} + 2 - 3 y^{2} + 9 y - 15$

Subtract $3 y^{2}$ from $8 y^{2}$ .

$5 y^{2} + 2 + 9 y - 15$

Subtract $15$ from $2$ .

$5 y^{2} + 9 y - 13$