Answer
\begin{align*}
v &=(4,7).
\end{align*}
Work Step by Step
Consider the vectors ${u}=(-2,3), \quad {w}=(-3,-2)$
\begin{align*}
v &= {u}-2{w}\\
&= (-2,3)-2(-3,-2)\\
&=(-2,3)+(6,4)\\
&=(4,7).
\end{align*}
Geometrically, see the figure