$$6MSS\cap GSHE=3(\varphi-3)^{2}-(2\varphi-6)(\varphi-2)$$
$E=-\left(2\left(p-3\right)\left(p-2\right)-3\left(Y-3\right)^{2}\right)$
$Y=-\frac{\sqrt{6p^{2}-30p+3E+36}}{3}+3$
$Y=\frac{\sqrt{6p^{2}-30p+3E+36}}{3}+3\text{, }E\geq -2p^{2}+10p-12$