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x\left(a-2b\right)+y\left(a-2b\right)
Do the grouping ax-2bx+ay-2by=\left(ax-2bx\right)+\left(ay-2by\right), and factor out x in the first and y in the second group.
\left(a-2b\right)\left(x+y\right)
Factor out common term a-2b by using distributive property.