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To solve the equation \(2x - 4y = 8\) for \(y\), we need to isolate \(y\) on one side of the equation.

### Step-by-Step Solution:

1. Start with the given equation:
   \[
   2x - 4y = 8
   \]

2. Subtract \(2x\) from both sides to move the \(x\) term to the right side:
   \[
   -4y = 8 - 2x
   \]

3. Divide every term by \(-4\) to solve for \(y\):
   \[
   y = \frac{8 - 2x}{-4}
   \]

4. Simplify the equation by dividing both terms in the numerator by \(-4\):
   \[
   y = \frac{8}{-4} - \frac{2x}{-4}
   \]
   \[
   y = -2 + \frac{x}{2}
   \]

5. Rearrange the equation to match the format seen in the answer choices:
   \[
   y = \frac{1}{2}x - 2
   \]

So, the correct answer is:

\[
\boxed{y = \frac{1}{2}x - 2}
\]

This matches the second option in the provided choices.

---

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. What is the process to rearrange an equation with variables on both sides?
2. How can we graph the equation \(y = \frac{1}{2}x - 2\) on the coordinate plane?
3. What are the steps to solve a linear equation using the substitution method?
4. How does the slope-intercept form help in understanding linear equations?
5. What is the significance of the slope and y-intercept in the equation \(y = \frac{1}{2}x - 2\)?

**Tip:** When solving for a variable, always aim to simplify the equation step by step to avoid errors and ensure clarity.

For the equation below solve for y:
2x - 4y = 8

Learn how to solve the linear equation 2x - 4y = 8 for y. This problem involves key algebraic concepts like isolating variables and simplifying linear equations. Suitable for students in Grades 7-9.

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