Let's solve the equation step by step:

Given equation: 
\[ y = \frac{1}{2}(-8) - 3 \]

1. **Multiply** \(\frac{1}{2}\) by \(-8\):
   \[
   \frac{1}{2} \times -8 = -4
   \]

2. **Subtract** 3 from \(-4\):
   \[
   y = -4 - 3 = -7
   \]

So, the value of \(y\) is \(-7\).

Would you like more details on any part of this process? Here are some related questions to think about:

1. What happens to the equation if you change \(-8\) to another number?
2. How would you solve a similar equation with different fractions?
3. What is the general approach to solving linear equations like this one?
4. How does changing the sign of a number inside the parentheses affect the result?
5. What is the significance of each operation in the context of solving linear equations?

**Tip:** Always follow the order of operations (parentheses, exponents, multiplication/division, addition/subtraction) when solving equations to ensure accuracy.

Learn how to solve linear equations involving fractions with a step-by-step guide. This problem involves operations with fractions and basic arithmetic. Suitable for students in Grades 6-8.

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