8y − 73=9y + 25−1

To solve the equation \( 8y - 73 = 9y + 25 - 1 \), we will first simplify the right side of the equation.

1. Combine like terms on the right: \[ 25 - 1 = 24 \] So, the equation can be rewritten as: \[ 8y - 73 = 9y + 24 \]

2. Next, we'll isolate \( y \) by moving terms involving \( y \) to one side and constant terms to the other. Subtract \( 9y \) from both sides: \[ 8y - 9y - 73 = 24 \] This simplifies to: \[ -y - 73 = 24 \]

3. Now, add 73 to both sides: \[ -y = 24 + 73 \] Which gives: \[ -y = 97 \]

4. Finally, multiply both sides by -1 to solve for \( y \): \[ y = -97 \]

Thus, the solution to the equation is: \[ y = -97 \]