$$5x-2y+15=0$$
$x=\frac{2y}{5}-3$
$$5x+15=2y$$
$$5x=2y-15$$
$$\frac{5x}{5}=\frac{2y-15}{5}$$
$$x=\frac{2y-15}{5}$$
$$x=\frac{2y}{5}-3$$
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$y=\frac{5\left(x+3\right)}{2}$
$$-2y+15=-5x$$
$$-2y=-5x-15$$
$$\frac{-2y}{-2}=\frac{-5x-15}{-2}$$
$$y=\frac{-5x-15}{-2}$$
$$y=\frac{5x+15}{2}$$
