#### Answer

$5-y^{2}$

#### Work Step by Step

The distributive property holds that $a(b-c)=ab-ac$ for real numbers a, b, and c.
Therefore, $5y^{2}(\frac{1}{y^{2}}-\frac{1}{5})=(5y^{2}\times\frac{1}{y^{2}})-(5y^{2}\times\frac{1}{5})=\frac{5y^{2}}{y^{2}}-\frac{5y^{2}}{5}=5-y^{2}$