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-38=5y-35-8y
Use the distributive property to multiply 5 by y-7.
-38=-3y-35
Combine 5y and -8y to get -3y.
-3y-35=-38
Swap sides so that all variable terms are on the left hand side.
-3y=-38+35
Add 35 to both sides.
-3y=-3
Add -38 and 35 to get -3.
y=\frac{-3}{-3}
Divide both sides by -3.
y=1
Divide -3 by -3 to get 1.