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3x\left(a-1\right)-4y\left(a-1\right)
Do the grouping 3ax-3x-4ay+4y=\left(3ax-3x\right)+\left(-4ay+4y\right), and factor out 3x in the first and -4y in the second group.
\left(a-1\right)\left(3x-4y\right)
Factor out common term a-1 by using distributive property.