Answer
$ y\gt 9$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -6\gt -\frac{2}{3}y$
Multiply each side by $-\frac{3}{2}$. Reverse the inequality symbol.
$\Rightarrow -\frac{3}{2}\cdot (-6)\lt -\frac{3}{2}\cdot (-\frac{2}{3}y)$
Simplify.
$\Rightarrow 9\lt y$
Hence, the solution is $ y\gt 9$.
Use an open circle because $9$ is not a solution.
Shade the number line on the right side.