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2y\left(3x-2\right)-3\left(3x-2\right)
Do the grouping 6xy-4y+6-9x=\left(6xy-4y\right)+\left(6-9x\right), and factor out 2y in the first and -3 in the second group.
\left(3x-2\right)\left(2y-3\right)
Factor out common term 3x-2 by using distributive property.