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9\times 2y+70=270
Multiply both sides of the equation by 90, the least common multiple of 10,9.
18y+70=270
Multiply 9 and 2 to get 18.
18y=270-70
Subtract 70 from both sides.
18y=200
Subtract 70 from 270 to get 200.
y=\frac{200}{18}
Divide both sides by 18.
y=\frac{100}{9}
Reduce the fraction \frac{200}{18} to lowest terms by extracting and canceling out 2.