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