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6=3y+18-7y
Use the distributive property to multiply 3 by y+6.
6=-4y+18
Combine 3y and -7y to get -4y.
-4y+18=6
Swap sides so that all variable terms are on the left hand side.
-4y=6-18
Subtract 18 from both sides.
-4y=-12
Subtract 18 from 6 to get -12.
y=\frac{-12}{-4}
Divide both sides by -4.
y=3
Divide -12 by -4 to get 3.