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10y-5-2\times 3y=1
Use the distributive property to multiply 5 by 2y-1.
10y-5-6y=1
Multiply 2 and 3 to get 6.
4y-5=1
Combine 10y and -6y to get 4y.
4y=1+5
Add 5 to both sides.
4y=6
Add 1 and 5 to get 6.
y=\frac{6}{4}
Divide both sides by 4.
y=\frac{3}{2}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.