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10\times \frac{1\times 2+1}{2}=7y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10y, the least common multiple of y,10.
10\times \frac{2+1}{2}=7y
Multiply 1 and 2 to get 2.
10\times \frac{3}{2}=7y
Add 2 and 1 to get 3.
\frac{10\times 3}{2}=7y
Express 10\times \frac{3}{2} as a single fraction.
\frac{30}{2}=7y
Multiply 10 and 3 to get 30.
15=7y
Divide 30 by 2 to get 15.
7y=15
Swap sides so that all variable terms are on the left hand side.
y=\frac{15}{7}
Divide both sides by 7.