Answer
$ y\gt 1$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -3\lt y-4$
Add $4$ to each side.
$\Rightarrow -3+4\lt y-4+4$
Simplify.
$\Rightarrow 1\lt y$
Hence, the solution is $ y\gt 1$.
Use an open circle because $1$ is not a solution.
Shade the number line on the right side.