y - 1 = 3y + 7 what is the value for y

1 answer

To solve the equation \( y - 1 = 3y + 7 \), follow these steps:

  1. Start by isolating terms involving \( y \). Subtract \( y \) from both sides: \[ -1 = 2y + 7 \]

  2. Next, subtract 7 from both sides: \[ -1 - 7 = 2y \] \[ -8 = 2y \]

  3. Now, divide both sides by 2: \[ y = -4 \]

Thus, the value of \( y \) is \( \boxed{-4} \).