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x\left(y+1\right)-6\left(y+1\right)
Do the grouping xy+x-6y-6=\left(xy+x\right)+\left(-6y-6\right), and factor out x in the first and -6 in the second group.
\left(y+1\right)\left(x-6\right)
Factor out common term y+1 by using distributive property.