Hi there andrelt375, you now to employ your knowledge and algebra and inequalities here.
We need to isolate $\displaystyle y$
$\displaystyle x-2y>-4$
First, lets take $\displaystyle x$ from both sides.
$\displaystyle x{\color{red}-x}-2y>-4{\color{red}-x}$
Gives us
$\displaystyle -2y>-4-x$
Now we need to divide each side by $\displaystyle -2$ . When we divide through by a negative value the sign will flip the other way.
$\displaystyle \frac{-2y}{{\color{red}-2}}<\frac{-4-x}{{\color{red}-2}}$
Leaving
$\displaystyle y>\frac{-4-x}{-2} $
This can be simplified further as
$\displaystyle y>\frac{-4}{-2}+\frac{-x}{-2} $
$\displaystyle y>2+\frac{x}{2} $
And we are finished.