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-y+6+3y=0
Subtract 3 from 9 to get 6.
-y+3y=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
2y=-6
Combine -y and 3y to get 2y.
y=\frac{-6}{2}
Divide both sides by 2.
y=-3
Divide -6 by 2 to get -3.