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2\left(x-6\right)-y\left(x-6\right)
Do the grouping 2x-12-xy+6y=\left(2x-12\right)+\left(-xy+6y\right), and factor out 2 in the first and -y in the second group.
\left(x-6\right)\left(2-y\right)
Factor out common term x-6 by using distributive property.