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6y=1\times 8+7
Multiply both sides of the equation by 8, the least common multiple of 4,8.
6y=8+7
Multiply 1 and 8 to get 8.
6y=15
Add 8 and 7 to get 15.
y=\frac{15}{6}
Divide both sides by 6.
y=\frac{5}{2}
Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.