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