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y\left(-v+5\right)+7v\left(-v+5\right)
Do the grouping -vy+35v-7v^{2}+5y=\left(-vy+5y\right)+\left(-7v^{2}+35v\right), and factor out y in the first and 7v in the second group.
\left(-v+5\right)\left(y+7v\right)
Factor out common term -v+5 by using distributive property.