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6\left(x-7\right)+y\left(x-7\right)
Do the grouping 6x-42+xy-7y=\left(6x-42\right)+\left(xy-7y\right), and factor out 6 in the first and y in the second group.
\left(x-7\right)\left(6+y\right)
Factor out common term x-7 by using distributive property.