Answer
$$12y^{3} + y^{2} - 21y + 10$$
Work Step by Step
To evaluate this expression, we will use the FOIL method to distribute terms.
First, we will multiply the first term, $3y$, with each of the terms within the second pair of parentheses. Then we will multiply the second term, $-2$, with each of the terms in the second pair of parentheses:
$$12y^{3} + 9y^{2} - 15y - 8y^{2} - 6y + 10$$
Combine like terms:
$$12y^{3} + y^{2} - 21y + 10$$