Question

2(6y + 3) = -6

Explanation:

Step1: Divide both sides by 2

To isolate the term with \( y \), we divide both sides of the equation \( 2(6y + 3) = -6 \) by 2. This gives us \( \frac{2(6y + 3)}{2} = \frac{-6}{2} \), which simplifies to \( 6y + 3 = -3 \).

Step2: Subtract 3 from both sides

Next, we subtract 3 from both sides to get \( 6y + 3 - 3 = -3 - 3 \), which simplifies to \( 6y = -6 \).

Step3: Divide both sides by 6

Finally, we divide both sides by 6 to solve for \( y \). So, \( \frac{6y}{6} = \frac{-6}{6} \), which gives \( y = -1 \).

Answer:

\( y = -1 \)