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To solve the given literal equation for \( y \):

\[
2x - 4y = 20
\]

Follow these steps:

1. **Isolate the term involving \( y \):**
   \[
   -4y = 20 - 2x
   \]
   This was achieved by subtracting \( 2x \) from both sides of the equation.

2. **Solve for \( y \):**
   \[
   y = \frac{20 - 2x}{-4}
   \]

3. **Simplify the expression:**
   Break the fraction into two terms:
   \[
   y = \frac{20}{-4} - \frac{2x}{-4}
   \]
   Simplifying each term:
   \[
   y = -5 + \frac{x}{2}
   \]

Thus, the solution is:
\[
y = \frac{x}{2} - 5
\]

Would you like more details on any step? Here are some related questions for practice:

1. What would the equation look like if solved for \( x \) instead of \( y \)?
2. How would the graph of the equation \( y = \frac{x}{2} - 5 \) look?
3. What is the slope and y-intercept of the line given by the equation \( y = \frac{x}{2} - 5 \)?
4. How would you solve this equation if it involved a more complicated fraction?
5. What happens if the right-hand side of the original equation changes to a different constant, such as 30?

**Tip:** Always try to simplify fractions early to make your calculations easier!

Solve the literal equation for y: 2x - 4y = 20.

Learn how to solve the linear equation 2x - 4y = 20 for y with a step-by-step guide. This problem covers algebraic concepts and techniques for simplifying equations. Perfect for students in Grades 8-10.

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