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x\left(y-4\right)+4\left(y-4\right)
Do the grouping xy-4x+4y-16=\left(xy-4x\right)+\left(4y-16\right), and factor out x in the first and 4 in the second group.
\left(y-4\right)\left(x+4\right)
Factor out common term y-4 by using distributive property.