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xy\left(4y+1\right)-a\left(4y+1\right)
Do the grouping xy+4xy^{2}-a-4ay=\left(xy+4xy^{2}\right)+\left(-a-4ay\right), and factor out xy in the first and -a in the second group.
\left(4y+1\right)\left(xy-a\right)
Factor out common term 4y+1 by using distributive property.