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