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2x\left(y-4\right)+3\left(y-4\right)
Do the grouping 2xy-8x+3y-12=\left(2xy-8x\right)+\left(3y-12\right), and factor out 2x in the first and 3 in the second group.
\left(y-4\right)\left(2x+3\right)
Factor out common term y-4 by using distributive property.