Solve for y
y=66
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11\times 2=11\times 8+11y\left(-\frac{1}{11}\right)
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 11y, the least common multiple of y,11.
22=11\times 8+11y\left(-\frac{1}{11}\right)
Multiply 11 and 2 to get 22.
22=88+11y\left(-\frac{1}{11}\right)
Multiply 11 and 8 to get 88.
22=88-y
Cancel out 11 and 11.
88-y=22
Swap sides so that all variable terms are on the left hand side.
-y=22-88
Subtract 88 from both sides.
-y=-66
Subtract 88 from 22 to get -66.
y=66
Multiply both sides by -1.
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