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3y-2+3y=2
Add 3y to both sides.
6y-2=2
Combine 3y and 3y to get 6y.
6y=2+2
Add 2 to both sides.
6y=4
Add 2 and 2 to get 4.
y=\frac{4}{6}
Divide both sides by 6.
y=\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.