Simplify (-4y^3+y^2-y-3)-(-2y^3-3y+3)

$(- 4 y^{3} + y^{2} - y - 3) - (- 2 y^{3} - 3 y + 3)$

Simplify each term.

Apply the distributive property.

$- 4 y^{3} + y^{2} - y - 3 - (- 2 y^{3}) - (- 3 y) - 1 \cdot 3$

Simplify.

Multiply $- 2$ by $- 1$ .

$- 4 y^{3} + y^{2} - y - 3 + 2 y^{3} - (- 3 y) - 1 \cdot 3$

Multiply $- 3$ by $- 1$ .

$- 4 y^{3} + y^{2} - y - 3 + 2 y^{3} + 3 y - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$- 4 y^{3} + y^{2} - y - 3 + 2 y^{3} + 3 y - 3$

Simplify by adding terms.

Add $- 4 y^{3}$ and $2 y^{3}$ .

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

Add $- y$ and $3 y$ .

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

Subtract $3$ from $- 3$ .

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