Is there a solution too 4 (b-1) = -4+4b

The answer is infinite, many solutions. That means there can be any value of b.

Let's try to solve for b.

First distribute ...

4b - 4 = - 4 + 4b

Combine like terms ...

4b - 4b = - 4 + 4

0 = 0

This tells us that the two equations (4b - 4 = - 4 + 4b) are the same 2 lines. Therefore, there are an infinite number of solutions. Test it by substituting various numbers for b. They all work.

So is there only one solution? No. There are infinite solutions.