Question 318427
You need to distribute first (so you can avoid doing things twice)



{{{y + 1/2 = -(1/3)(x + 1/2)}}} Start with the given equation.



{{{y + 1/2 = -(1/3)x -(1/3)(1/2)}}} Distribute.



{{{y + 1/2 = -(1/3)x -1/6}}} Multiply {{{-1/3}}} and {{{1/2}}} to get {{{-1/6}}}.



{{{6y + 3 = -2x -1}}} Multiply EVERY term by the LCD 6 to clear out the fractions.



{{{6y = -2x -1-3}}} Subtract 3 from both sides.



{{{6y = -2x -4}}} Combine like terms.



{{{y=(-2x-4)/(6)}}} Divide both sides by {{{6}}} to isolate y.



{{{y=((-2)/(6))x+(-4)/(6)}}} Break up the fraction.



{{{y=-(1/3)x-2/3}}} Reduce.



So the solution is {{{y=-(1/3)x-2/3}}}