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x\left(y+4\right)-2\left(y+4\right)
Do the grouping xy+4x-2y-8=\left(xy+4x\right)+\left(-2y-8\right), and factor out x in the first and -2 in the second group.
\left(y+4\right)\left(x-2\right)
Factor out common term y+4 by using distributive property.