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