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400y=40\times 5^{2}+26y
Multiply both sides of the equation by 40.
400y=40\times 25+26y
Calculate 5 to the power of 2 and get 25.
400y=1000+26y
Multiply 40 and 25 to get 1000.
400y-26y=1000
Subtract 26y from both sides.
374y=1000
Combine 400y and -26y to get 374y.
y=\frac{1000}{374}
Divide both sides by 374.
y=\frac{500}{187}
Reduce the fraction \frac{1000}{374} to lowest terms by extracting and canceling out 2.