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7x\left(y-7\right)+5\left(y-7\right)
Do the grouping 7xy-49x+5y-35=\left(7xy-49x\right)+\left(5y-35\right), and factor out 7x in the first and 5 in the second group.
\left(y-7\right)\left(7x+5\right)
Factor out common term y-7 by using distributive property.