Question 147892
All you're doing is re-arranging the variables to make y a function of x. 
You could also make x a function of y but the traditional way is y as a functino of x.
Your final answer will look like y=.... and the right hand side will only have x terms and constants. 
{{{2x-3y=-6}}}
{{{-3y=-6-2x}}}Subtract (2x) from both sides
{{{y=(-6-2x)/(-3)}}}Divide both sides by (-3).
{{{y=(6+2x)/3}}}Remove (-1) from numerator and denominator.
{{{y=(2x+6)/3}}}