Answer
$\displaystyle \frac{2}{y}$
Work Step by Step
Step by step multiplication of rational expressions:
1. Factor completely what you can
2. Reduce (divide) numerators and denominators by common factors.
3. Multiply the remaining factors in the numerators and
multiply the remaining factors in the denominators. $(\displaystyle \frac{P}{Q}\cdot\frac{R}{S}=\frac{PR}{QS})$
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Factor what we can:
$4y+30=2(2y+15)$
$y^{2}-3y=y(y-3)$
The problem becomes
$...=\displaystyle \frac{2(2y+15)\cdot(y-3)}{y(y-3)\cdot(2y+15)}\qquad $... divide out the common factors
= $\displaystyle \frac{2}{y}$
