what is the value of b in the equation?

4(b -1)=2b+10
4b-4=2b+10
-2b=14
b=-7
is this right?

check the sign

No its not -7 it 7.

To confirm if your answer is correct, let's go through the steps of solving the equation:

1. Start with the given equation: 4(b - 1) = 2b + 10.

2. Distribute the 4 on the left side of the equation: 4b - 4 = 2b + 10.

3. Combine like terms on both sides: 4b - 2b = 10 + 4.

4. Simplify: 2b = 14.

5. Divide both sides of the equation by 2 to isolate b: (2b)/2 = 14/2.

6. Simplify: b = 7.

Based on these steps, it appears that the correct value for b is 7, not -7. Therefore, your initial answer of b = -7 is incorrect.