Simplify (-3y^2-5y-2)+(-7y^2+5y+2)

$(- 3 y^{2} - 5 y - 2) + (- 7 y^{2} + 5 y + 2)$

Step 1

Remove parentheses.

$- 3 y^{2} - 5 y - 2 - 7 y^{2} + 5 y + 2$

Step 2

Combine the opposite terms in $- 3 y^{2} - 5 y - 2 - 7 y^{2} + 5 y + 2$ .

Add $- 5 y$ and $5 y$ .

$- 3 y^{2} - 2 - 7 y^{2} + 0 + 2$

Add $- 3 y^{2} - 2 - 7 y^{2}$ and $0$ .

$- 3 y^{2} - 2 - 7 y^{2} + 2$

Add $- 2$ and $2$ .

$- 3 y^{2} - 7 y^{2} + 0$

Add $- 3 y^{2} - 7 y^{2}$ and $0$ .

$- 3 y^{2} - 7 y^{2}$

Step 3

Subtract $7 y^{2}$ from $- 3 y^{2}$ .

$- 10 y^{2}$