Let's solve the equation step by step:
Given:
\[ 6(2y - 1) - 2(3y) = 3 \]
First, distribute the terms:
\[ 12y - 6 - 6y = 3 \]
Now, combine like terms on the left side:
\[ (12y - 6y) - 6 = 3 \]
This simplifies to:
\[ 6y - 6 = 3 \]
Next, add 6 to both sides:
\[ 6y = 3 + 6 \]
So we have:
\[ 6y = 9 \]
Now, divide both sides by 6:
\[ y = \frac{9}{6} \]
This can be simplified to:
\[ y = \frac{3}{2} \]
Thus, the solution to the equation is:
\[ y = \frac{3}{2} \]
Feel free to enter \( \frac{3}{2} \) as your final answer.