We have such equation
5x-3y=12 /-5x (subtract 5x both sides)
5x-5x-3y=12-5x
-3y=-5x+12 /:3 divide both sides by 3
-y=[tex] \frac{-5x+12}{3} [/tex] /*(-1) multiply both sides by -1
y=-[tex] \frac{-5x+12}{3} [/tex]
y=[tex] \frac{5x-12}{3} [/tex] - its the answer