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