jmc

The vertex of the parabola is $(5,-4)$, so the equation of the parabola is of the form $$x=a(y+4{)}^2+5.$$ The parabola passes through the point $(3,-2)$. Substituting these values into the equation above, we get $$3=a(-2+4{)}^2+5.$$ Solving for $a$, we find $a=-1/2$. Hence, the equation of the parabola is given by $$x=-\frac{1}{2}(y+4{)}^2+5=-\frac{1}{2}(y^2+8y+16)+5=-\frac{1}{2}{y}^2-4y-3.$$ The answer is $-1/2-4-3=\boxed{-\frac{15}{2}}$.