8y-3=15+2y

1 answer

To solve the equation \( 8y - 3 = 15 + 2y \), follow these steps:

  1. First, let's get all the terms involving \( y \) on one side and constants on the other side. Subtract \( 2y \) from both sides:

    \[ 8y - 2y - 3 = 15 \]

    This simplifies to:

    \[ 6y - 3 = 15 \]

  2. Next, add 3 to both sides to isolate the term with \( y \):

    \[ 6y = 15 + 3 \]

    This simplifies to:

    \[ 6y = 18 \]

  3. Finally, divide both sides by 6 to solve for \( y \):

    \[ y = \frac{18}{6} \]

    This simplifies to:

    \[ y = 3 \]

The solution is \( y = 3 \).