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