$x=\frac{\sqrt{6y+3}}{6}+\frac{1}{2}$
$x=-\frac{\sqrt{6y+3}}{6}+\frac{1}{2}$

$x=\frac{\sqrt{6y+3}}{6}+\frac{1}{2}$
$x=-\frac{\sqrt{6y+3}}{6}+\frac{1}{2}\text{, }y\geq -\frac{1}{2}$

$y=6x^{2}-6x+1$