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5w\left(y+8w\right)+2\left(y+8w\right)
Do the grouping 40w^{2}+5wy+16w+2y=\left(40w^{2}+5wy\right)+\left(16w+2y\right), and factor out 5w in the first and 2 in the second group.
\left(y+8w\right)\left(5w+2\right)
Factor out common term y+8w by using distributive property.