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5\times 2+5y\times \frac{1}{5}=5\times 3
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5y, the least common multiple of y,5.
10+5y\times \frac{1}{5}=5\times 3
Multiply 5 and 2 to get 10.
10+y=5\times 3
Cancel out 5 and 5.
10+y=15
Multiply 5 and 3 to get 15.
y=15-10
Subtract 10 from both sides.
y=5
Subtract 10 from 15 to get 5.