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y\left(x+6\right)-9\left(x+6\right)
Do the grouping xy+6y-9x-54=\left(xy+6y\right)+\left(-9x-54\right), and factor out y in the first and -9 in the second group.
\left(x+6\right)\left(y-9\right)
Factor out common term x+6 by using distributive property.