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8x\left(y+7\right)-\left(y+7\right)
Do the grouping 8xy+56x-y-7=\left(8xy+56x\right)+\left(-y-7\right), and factor out 8x in the first and -1 in the second group.
\left(y+7\right)\left(8x-1\right)
Factor out common term y+7 by using distributive property.