Answer
-2$y^{3}$+4$y^{2}$ +13y +13
Work Step by Step
(4$y^{2}$+8y+ 11) + (-2$y^{3}$ + 5y +2)
The like terms are 4$y^{2}$ , -2$y^{3}$ , 8y and 5y (both containing y) and the constant terms 11 and 2.
We begin by grouping these pairs of like terms.
=4$y^{2}$ -2$y^{3}$ +( 8y + 5y) +(11+2)
= -2$y^{3}$+4$y^{2}$ +13y +13