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x\left(3y-8\right)-2\left(3y-8\right)
Do the grouping 3xy-8x-6y+16=\left(3xy-8x\right)+\left(-6y+16\right), and factor out x in the first and -2 in the second group.
\left(3y-8\right)\left(x-2\right)
Factor out common term 3y-8 by using distributive property.