The equation given is:

\[
20x + 4y = 8
\]

Let's simplify this equation to its standard form:

1. **Simplify by dividing through by 4**:

\[
\frac{20x + 4y}{4} = \frac{8}{4}
\]

This simplifies to:

\[
5x + y = 2
\]

### Interpretation:
This is a linear equation in two variables, \(x\) and \(y\). It represents a straight line in the coordinate plane.

### Solving for \(y\):
To express \(y\) in terms of \(x\):

\[
y = 2 - 5x
\]

This form can be used to find specific \(x\)- and \(y\)-values or graph the equation. If you'd like, I can further explain how to plot it or find specific solutions for given values of \(x\).

Would you like to see the graph, or have any other specific questions?

### Relative Questions:
1. What is the slope and y-intercept of this equation?
2. How would you find the x-intercept of this equation?
3. How do you determine if a point lies on this line?
4. How can you rewrite this equation in slope-intercept form?
5. What would be the equation if you swapped the coefficients of \(x\) and \(y\)?

**Tip**: Linear equations in the form \(Ax + By = C\) can always be rewritten as \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Discover how to simplify and solve the linear equation 20x + 4y = 8. This solution explains converting the equation to slope-intercept form, solving for y, and interpreting the slope and intercepts. Ideal for students in Grades 8-10.

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