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\frac{\left(y-11\right)^{2}}{2\left(y-11\right)\left(y+3\right)}
Factor the expressions that are not already factored.
\frac{y-11}{2\left(y+3\right)}
Cancel out y-11 in both numerator and denominator.
\frac{y-11}{2y+6}
Expand the expression.
\frac{\left(y-11\right)^{2}}{2\left(y-11\right)\left(y+3\right)}
Factor the expressions that are not already factored.
\frac{y-11}{2\left(y+3\right)}
Cancel out y-11 in both numerator and denominator.
\frac{y-11}{2y+6}
Expand the expression.