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2x\left(a-3b\right)+y\left(a-3b\right)
Do the grouping 2ax-6bx+ay-3by=\left(2ax-6bx\right)+\left(ay-3by\right), and factor out 2x in the first and y in the second group.
\left(a-3b\right)\left(2x+y\right)
Factor out common term a-3b by using distributive property.