Add/Subtract Polynomials

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Simplify $\left(9y^{2}+1\right)+4\left(10y^{2}-4y+1\right)$

**Answer**

$\;\;\;\left(9y^{2}+1\right)+4\left(10y^{2}-4y+1\right)$

$=9y^{2}+1+40y^{2}-16y+4$

$=(9y^{2}+40y^{2})+(-16y)+(1+4)$

$=49y^{2}-16y+5$