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2y\times \frac{3}{2}-2\times 3=0
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2y, the least common multiple of 2,y.
3y-2\times 3=0
Cancel out 2 and 2.
3y-6=0
Multiply -2 and 3 to get -6.
3y=6
Add 6 to both sides. Anything plus zero gives itself.
y=\frac{6}{3}
Divide both sides by 3.
y=2
Divide 6 by 3 to get 2.