Answer
$5y+21$
Work Step by Step
The given expression, $
4(y+7)-(y-2)+(2y-9)
,$ simplifies to
\begin{array}{l}\require{cancel}
4(y+7)-y+2+2y-9
\\\\=
4(y)+4(7)-y+2+2y-9
\\\\=
4y+28-y+2+2y-9
\\\\=
(4y-y+2y)+(28+2-9)
\\\\=
5y+21
.\end{array}