Simplify (3y^2+y^3-5)+(4y^2-4y+2y^3+8)

$(3 y^{2} + y^{3} - 5) + (4 y^{2} - 4 y + 2 y^{3} + 8)$

Step 1

Remove parentheses.

$3 y^{2} + y^{3} - 5 + 4 y^{2} - 4 y + 2 y^{3} + 8$

Step 2

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

$7 y^{2} + y^{3} - 5 - 4 y + 2 y^{3} + 8$

Step 3

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

$7 y^{2} + 3 y^{3} - 5 - 4 y + 8$

Step 4

Simplify the expression.

Add $- 5$ and $8$ .

$7 y^{2} + 3 y^{3} - 4 y + 3$

Reorder $7 y^{2}$ and $3 y^{3}$ .

$3 y^{3} + 7 y^{2} - 4 y + 3$