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2\times 2y=3\left(2\times 2+1\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4y=3\left(2\times 2+1\right)
Multiply 2 and 2 to get 4.
4y=3\left(4+1\right)
Multiply 2 and 2 to get 4.
4y=3\times 5
Add 4 and 1 to get 5.
4y=15
Multiply 3 and 5 to get 15.
y=\frac{15}{4}
Divide both sides by 4.