Answer
$ -4y^3+4y^2 +4y + 12$
Work Step by Step
We simplify by removing the parentheses and then combine the like terms as follows
$$
8(1 - y^3) + 4(1 + y + y^2 + y^3)=8-8 y^3+ 4 + 4y +4 y^2 +4 y^3\\
= -4y^3+4y^2 +4y + 12
.$$
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