$$y = \frac { - 5 } { 6 } x + 2.$$
$x=\frac{12-6y}{5}$
$$y=-\frac{5}{6}x+2$$
$$-\frac{5}{6}x+2=y$$
$$-\frac{5}{6}x=y-2$$
$$\frac{-\frac{5}{6}x}{-\frac{5}{6}}=\frac{y-2}{-\frac{5}{6}}$$
$$x=\frac{y-2}{-\frac{5}{6}}$$
$$x=\frac{12-6y}{5}$$
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$y=-\frac{5x}{6}+2$