Answer
$(y+7)(5y-2)$
Work Step by Step
$5y^{2}+33y-14=$
... ... Searching for two factors of $ac=-70$ whose sum is $b=+33,$
we find$\qquad+35$ and $-2.$
Rewrite the middle term and factor in pairs:
$=5y^{2}+35y-2y-14=$
$=5y(y+7)-2(y+7)$
= $(y+7)(5y-2)$
