Select the correct answer. Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has

To determine the correct answer, we will simplify the equation step by step. The given equation is: \[ 3(-y + 7) = 3(y + 5) + 6 \] Let's expand both sides: 1. The left side: \[ 3(-y + 7) = -3y + 21 \] 2. The right side: \[ 3(y + 5) + 6 = 3y + 15 + 6 = 3y + 21 \] Now, the equation can be rewritten as: \[ -3y + 21 = 3y + 21 \] Next, let's isolate the terms involving \(y\). We will move \(3y\) to the left side and 21 to the right side: \[ -3y - 3y = 21 - 21 \] This simplifies to: \[ -6y = 0 \] Dividing by -6, we get: \[ y = 0 \] We found one solution: \(y = 0\). So the correct answer is: **A. The equation has one solution, y = 0.**