https://file.aiquickdraw.com/mathbot/file/172765201866004id9piq.jpg

The given equation is:

\[
-4b + 3 = -1
\]

### Step-by-step Solution:

1. **Subtract 3 from both sides** to move the constant to the right side:
   \[
   -4b = -1 - 3
   \]
   \[
   -4b = -4
   \]

2. **Divide both sides by -4** to solve for \( b \):
   \[
   b = \frac{-4}{-4}
   \]
   \[
   b = 1
   \]

Thus, the value of \( b \) is **1**.

The correct option is:
\[
b = 1
\]

Would you like further details or explanations on any steps?

Here are 5 related questions to expand your understanding:
1. How do you solve linear equations with variables on one side?
2. What are the steps for solving equations with negative coefficients?
3. How do you check if your solution to an equation is correct?
4. How do you deal with equations that have fractions in them?
5. How can equations with multiple variables be solved?

**Tip:** Always double-check your solution by substituting the value of the variable back into the original equation.

Learn how to solve the linear equation -4b + 3 = -1 with a detailed step-by-step solution. This problem involves isolating the variable and using properties of equality. Suitable for students in Grades 7-9.

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