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15y-5\left(9\times 3+1\right)=6
Multiply both sides of the equation by 15, the least common multiple of 3,5.
15y-5\left(27+1\right)=6
Multiply 9 and 3 to get 27.
15y-5\times 28=6
Add 27 and 1 to get 28.
15y-140=6
Multiply -5 and 28 to get -140.
15y=6+140
Add 140 to both sides.
15y=146
Add 6 and 140 to get 146.
y=\frac{146}{15}
Divide both sides by 15.