y=3/5
Step 1: Multiply both sides by 3 and you get y-6=6y-9
Step 2: Move the variable to the left and change the sign: y-6-6y=-9
Step 3: Move the constant to the right and change the sign: y-6y=-9+6
Step 4: Collect like terms: -5y=-9+6
Step 5: Figure out -9+6: -5y=-3
Step 6: Divide both sides by -5: y=3/5.
(NOTE: You could also say that y=0.6 if your teacher prefers your answer as a decimal.)