Starting with the equation:
![4(b-1)=-4+4b](https://img.qammunity.org/2023/formulas/mathematics/college/5fj6yk8teig7p0vs0t2ttcc1n5b5yujq7i.png)
Use the distributive property to expand the parenthesis in the left hand side of the equation:
![4b-4=-4+4b](https://img.qammunity.org/2023/formulas/mathematics/college/x5adskcmn6gbiav5oet0j71mdpityc2uyx.png)
Use the commutative property to rewrite the right hand side of the equation, swapping the terms:
![4b-4=4b-4](https://img.qammunity.org/2023/formulas/mathematics/college/llivr5z8irln20f39mu7fg39uo72v1xgvy.png)
Since both sides of the equation are the same, any value of b is a solution to the equation.
Therefore, all numbers are a solution for the equation 4(b-1)=-4+4b.