$$x2-y2=6$$
$y_{2}=x_{2}-6$
$$-y_{2}=6-x_{2}$$
$$\frac{-y_{2}}{-1}=\frac{6-x_{2}}{-1}$$
$$y_{2}=\frac{6-x_{2}}{-1}$$
$$y_{2}=x_{2}-6$$
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$x_{2}=y_{2}+6$
$$x_{2}=6+y_{2}$$