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600y=60\times 5^{2}+26y
Multiply both sides of the equation by 60.
600y=60\times 25+26y
Calculate 5 to the power of 2 and get 25.
600y=1500+26y
Multiply 60 and 25 to get 1500.
600y-26y=1500
Subtract 26y from both sides.
574y=1500
Combine 600y and -26y to get 574y.
y=\frac{1500}{574}
Divide both sides by 574.
y=\frac{750}{287}
Reduce the fraction \frac{1500}{574} to lowest terms by extracting and canceling out 2.