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

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

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $- 5$ by $- 1$ .

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

Multiply $- 1$ by $- 2$ .

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

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

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

Simplify by adding terms.

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

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

Add $y$ and $5 y$ .

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

Add $2$ and $2$ .

$- 2 y^{2} + 6 y + 4$

$- 2 y^{2} + 6 y + 4$

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