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2a\left(x-y\right)+3b\left(x-y\right)
Do the grouping 2ax-3by+3bx-2ay=\left(2ax-2ay\right)+\left(3bx-3by\right), and factor out 2a in the first and 3b in the second group.
\left(x-y\right)\left(2a+3b\right)
Factor out common term x-y by using distributive property.