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3y-5<34-10y
Use the distributive property to multiply 2 by 17-5y.
3y-5+10y<34
Add 10y to both sides.
13y-5<34
Combine 3y and 10y to get 13y.
13y<34+5
Add 5 to both sides.
13y<39
Add 34 and 5 to get 39.
y<\frac{39}{13}
Divide both sides by 13. Since 13 is positive, the inequality direction remains the same.
y<3
Divide 39 by 13 to get 3.