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y\times 1200+100y\left(-2\right)=1200
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100y, the least common multiple of 100,100y.
y\times 1200-200y=1200
Multiply 100 and -2 to get -200.
1000y=1200
Combine y\times 1200 and -200y to get 1000y.
y=\frac{1200}{1000}
Divide both sides by 1000.
y=\frac{6}{5}
Reduce the fraction \frac{1200}{1000} to lowest terms by extracting and canceling out 200.