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