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4y\left(5x-1\right)+7\left(5x-1\right)
Do the grouping 20xy-4y+35x-7=\left(20xy-4y\right)+\left(35x-7\right), and factor out 4y in the first and 7 in the second group.
\left(5x-1\right)\left(4y+7\right)
Factor out common term 5x-1 by using distributive property.