The equation given is:

\[
-1.5 - 0.5y = -9.1
\]

We want to solve for \( y \). Let's work through it step by step.

1. Add \( 1.5 \) to both sides to isolate the term with \( y \):
\[
-0.5y = -9.1 + 1.5
\]
\[
-0.5y = -7.6
\]

2. Now divide both sides by \( -0.5 \):
\[
y = \frac{-7.6}{-0.5}
\]
\[
y = 15.2
\]

So, the solution is:

\[
y = 15.2
\]

Would you like more details on any part of the process, or do you have any questions?

### Related questions:
1. What happens if the equation had a positive coefficient for \( y \)?
2. How do we solve equations when there are more variables?
3. What is the significance of dividing by a negative number?
4. Can you explain how this solution would change if the constants were fractions?
5. What are some common mistakes when solving linear equations?

**Tip**: Always double-check your signs (positive or negative) when solving equations to avoid small errors.

Learn how to solve the linear equation -1.5 - 0.5y = -9.1 using step-by-step instructions. This solution covers core algebraic concepts like isolating variables and dividing by negative numbers. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation