$$y=-2x2+8x-5$$
$x=\frac{2x_{2}+y+5}{8}$
$$-2x_{2}+8x-5=y$$
$$8x-5=y+2x_{2}$$
$$8x=y+2x_{2}+5$$
$$8x=2x_{2}+y+5$$
$$\frac{8x}{8}=\frac{2x_{2}+y+5}{8}$$
$$x=\frac{2x_{2}+y+5}{8}$$
$$x=\frac{x_{2}}{4}+\frac{y}{8}+\frac{5}{8}$$
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$x_{2}=-\frac{y}{2}+4x-\frac{5}{2}$
$$-2x_{2}-5=y-8x$$
$$-2x_{2}=y-8x+5$$
$$-2x_{2}=5+y-8x$$
$$\frac{-2x_{2}}{-2}=\frac{5+y-8x}{-2}$$
$$x_{2}=\frac{5+y-8x}{-2}$$
$$x_{2}=-\frac{y}{2}+4x-\frac{5}{2}$$