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\frac{y+6}{y-6}\times \frac{\left(y-6\right)\left(y+6\right)}{\left(y-4\right)\left(y+6\right)}
Factor the expressions that are not already factored in \frac{y^{2}-36}{y^{2}+2y-24}.
\frac{y+6}{y-6}\times \frac{y-6}{y-4}
Cancel out y+6 in both numerator and denominator.
\frac{\left(y+6\right)\left(y-6\right)}{\left(y-6\right)\left(y-4\right)}
Multiply \frac{y+6}{y-6} times \frac{y-6}{y-4} by multiplying numerator times numerator and denominator times denominator.
\frac{y+6}{y-4}
Cancel out y-6 in both numerator and denominator.
\frac{y+6}{y-6}\times \frac{\left(y-6\right)\left(y+6\right)}{\left(y-4\right)\left(y+6\right)}
Factor the expressions that are not already factored in \frac{y^{2}-36}{y^{2}+2y-24}.
\frac{y+6}{y-6}\times \frac{y-6}{y-4}
Cancel out y+6 in both numerator and denominator.
\frac{\left(y+6\right)\left(y-6\right)}{\left(y-6\right)\left(y-4\right)}
Multiply \frac{y+6}{y-6} times \frac{y-6}{y-4} by multiplying numerator times numerator and denominator times denominator.
\frac{y+6}{y-4}
Cancel out y-6 in both numerator and denominator.