Answer
$-4y+17$
Work Step by Step
Using order of operations, the given expression, $y-[3-4(5-2y)-3y],$ simplifies to
\begin{align*}\require{cancel}
&
y-[3-4(5)-4(-2y)-3y]
&(\text{use Distributive Property})
\\&=
y-[3-20+8y-3y]
\\&=
y-[-17+5y]
&(\text{combine like terms})
\\&=
y-1(-17)-1(5y)
&(\text{use Distributive Property})
\\&=
y+17-5y
\\&=
(y-5y)+17
&(\text{combine like terms})
\\&=
-4y+17
.\end{align*}
Hence, the expression $y-[3-4(5-2y)-3y]$ simplifies to $-4y+17$.
