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