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3\times 12=2\left(y-1\right)
Variable y cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 3\left(y-1\right), the least common multiple of y-1,3.
36=2\left(y-1\right)
Multiply 3 and 12 to get 36.
36=2y-2
Use the distributive property to multiply 2 by y-1.
2y-2=36
Swap sides so that all variable terms are on the left hand side.
2y=36+2
Add 2 to both sides.
2y=38
Add 36 and 2 to get 38.
y=\frac{38}{2}
Divide both sides by 2.
y=19
Divide 38 by 2 to get 19.