Answer
$\dfrac{4xy}{3z}+\dfrac{3x}{z}+y$
Work Step by Step
The given expression, $
(4x^2y+9x+3xyz)\div3xz
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{4x^2y}{3xz}+\dfrac{9x}{3xz}+\dfrac{3xyz}{3xz}
\\\\=
\dfrac{4xy}{3z}+\dfrac{3x}{z}+y
.\end{array}
