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3a\left(x+2y\right)-4b\left(x+2y\right)
Do the grouping 3ax+6ay-8by-4bx=\left(3ax+6ay\right)+\left(-8by-4bx\right), and factor out 3a in the first and -4b in the second group.
\left(x+2y\right)\left(3a-4b\right)
Factor out common term x+2y by using distributive property.