Answer
$-2x-9y$
Work Step by Step
Using $a(b+c)=ab+ac$, or the Distributive Property, and then combining like terms, the given expression, $
4(x-3y)-3(2x-y)
,$ simplifies to
\begin{array}{l}\require{cancel}
4x-12y-6x+3y
\\\\=
(4x-6x)+(-12y+3y)
\\\\=
-2x-9y
.\end{array}