Let's simplify the expressions on both sides of the equation:

4(3+2y) + 6 = 2(3 + 2y)

First, distribute the 4 on the left side:

12 + 8y + 6 = 2(3 + 2y)

Combine like terms:

18 + 8y = 6 + 4y

Subtract 4y from both sides:

4y + 18 = 6

Subtract 18 from both sides:

4y = -12

Divide by 4:

y = -3

Therefore, the solution to the equation is y = -3.