Answer
$\frac{y-7}{y-1}$
Work Step by Step
$\frac{y^{2}-5y-14}{y^{2}+y-2}=\frac{(y+2)(y-7)}{(y+2)(y-1)}=\frac{y-7}{y-1}\times\frac{y+2}{y+2}=\frac{y-7}{y-1}\times1=\frac{y-7}{y-1}$
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