an $x y$-equation and the $x y$-coordinates of a point $S$ are given. Find an $x^{\prime} y^{\prime}$-equation for the graph of the given equation if the origin of the $x^{\prime} y^{\prime}$-system is at the point $\mathbf{S}$.
$4 x^2-y^2-12 x-6 y+24=0 ; \mathbf{S}\left(\frac{3}{2},-3\right)$