Solve the equation.

Question

6 left parenthesis 3 y minus 1 right parenthesis minus 3 left parenthesis 2 y right parenthesis equals 14
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Part 1
yequals
  
enter your response here
​(Type an integer or a simplified​ fraction.)

Answer 1

To solve the equation \(6(3y - 1) - 3(2y) = 14\), we can follow the steps below:

1. Distribute the constants outside the parentheses:

\[ 6(3y) - 6(1) - 3(2y) = 14 \]

This expands to:

\[ 18y - 6 - 6y = 14 \]

2. Combine like terms:

\[ (18y - 6y) - 6 = 14 \]

This simplifies to:

\[ 12y - 6 = 14 \]

3. Add 6 to both sides:

\[ 12y = 14 + 6 \] \[ 12y = 20 \]

4. Divide both sides by 12:

\[ y = \frac{20}{12} \]

5. Simplify the fraction:

\[ y = \frac{5}{3} \]

Therefore, the solution is:

\[ y = \frac{5}{3} \]

Enter your response as \( \frac{5}{3} \).