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a\left(-y+a\right)+4\left(-y+a\right)
Do the grouping a^{2}-ay+4a-4y=\left(a^{2}-ay\right)+\left(4a-4y\right), and factor out a in the first and 4 in the second group.
\left(-y+a\right)\left(a+4\right)
Factor out common term -y+a by using distributive property.