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\frac{w\left(y+w\right)\left(-3y+4w\right)}{\left(y+5w\right)\left(3y-4w\right)}
Factor the expressions that are not already factored.
\frac{-w\left(y+w\right)\left(3y-4w\right)}{\left(y+5w\right)\left(3y-4w\right)}
Extract the negative sign in 4w-3y.
\frac{-w\left(y+w\right)}{y+5w}
Cancel out 3y-4w in both numerator and denominator.
\frac{-wy-w^{2}}{y+5w}
Expand the expression.
\frac{w\left(y+w\right)\left(-3y+4w\right)}{\left(y+5w\right)\left(3y-4w\right)}
Factor the expressions that are not already factored.
\frac{-w\left(y+w\right)\left(3y-4w\right)}{\left(y+5w\right)\left(3y-4w\right)}
Extract the negative sign in 4w-3y.
\frac{-w\left(y+w\right)}{y+5w}
Cancel out 3y-4w in both numerator and denominator.
\frac{-wy-w^{2}}{y+5w}
Expand the expression.