Question

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Part 1
Solve the equation.
6 left parenthesis 2 y minus 1 right parenthesis minus 2 left parenthesis 3 y right parenthesis equals 3
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Part 1
yequals
  
enter your response here
​(Type an integer or a simplified​ fraction.)

Answer 1

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.