Answer
$-23i+14j$.
Work Step by Step
Put $u=-2i+3j,v=6i-j$, $w=-3i$ in the expression $4u-\left( 2v-w \right)$. Then,
$\begin{align}
& 4u-\left( 2v-w \right)=4\left( -2i+3j \right)-\left( 2\left( 6i-j \right)-\left( -3i \right) \right) \\
& =-8i+12j-\left( \left( 12i-2j \right)+3i \right) \\
& =-8i+12j-15i+2j \\
& =-23i+14j
\end{align}$
