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3y-2-y<0
Subtract y from both sides.
2y-2<0
Combine 3y and -y to get 2y.
2y<2
Add 2 to both sides. Anything plus zero gives itself.
y<\frac{2}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
y<1
Divide 2 by 2 to get 1.