Answer:
Let's solve the equation step by step to determine how many solutions there are:
4y + 9 = 4y - 7
First, let's get all the variables (y) on one side of the equation. We can do this by subtracting 4y from both sides:
4y - 4y + 9 = 4y - 4y - 7
This simplifies to:
9 = -7.
Now, we can see that we have a contradiction. There is no value of y that satisfies this equation because 9 cannot be equal to -7.
Therefore, the equation has no solutions.
Explanation: