Simplify the following: $(2y-1)\cdot(4y^{10}+2y^9+4y^8+2y^7).$  Express your answer as a polynomial with the degrees of the terms in decreasing order.
Question:
Simplify the following: $(2y-1)\cdot(4y^{10}+2y^9+4y^8+2y^7).$  Express your answer as a polynomial with the degrees of the terms in decreasing order.
Answer:
Let's think step by step.

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8y^{11}+6y^9-2y^7
Simplify the following: $(2y-1)\cdot(4y^{10}+2y^9+4y^8+2y^7).$  Express your answer as a polynomial with the degrees of the terms in decreasing order.
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