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455+5\times 5y=7y-175
Multiply both sides of the equation by 35, the least common multiple of 7,5.
455+25y=7y-175
Multiply 5 and 5 to get 25.
455+25y-7y=-175
Subtract 7y from both sides.
455+18y=-175
Combine 25y and -7y to get 18y.
18y=-175-455
Subtract 455 from both sides.
18y=-630
Subtract 455 from -175 to get -630.
y=\frac{-630}{18}
Divide both sides by 18.
y=-35
Divide -630 by 18 to get -35.