Solve for *y* in terms of *x*.

20*x* + 

4

3

*y* = 9

To solve for \( y \) in terms of \( x \) in the equation:

\[
20x + \frac{4}{3}y = 9,
\]

follow these steps:

### Step 1: Isolate the Term with \( y \)

Subtract \( 20x \) from both sides:

\[
\frac{4}{3}y = 9 - 20x.
\]

### Step 2: Solve for \( y \)

Multiply both sides by \( \frac{3}{4} \) to isolate \( y \):

\[
y = \frac{3}{4} \times (9 - 20x).
\]

Simplify the expression:

\[
y = \frac{3 \cdot 9}{4} - \frac{3 \cdot 20x}{4},
\]

\[
y = \frac{27}{4} - 15x.
\]

So, the solution is:

\[
y = \frac{27}{4} - 15x.
\]

Would you like further details or have any questions?

### Related Questions:
1. What happens if you solve for \( x \) in terms of \( y \)?
2. How would the solution change if the coefficient of \( y \) was different?
3. Can this equation be represented as a graph, and if so, what would it look like?
4. How would you verify your solution?
5. What are other methods to isolate variables in equations?

### Tip:
When solving for a variable, always perform the same operation on both sides of the equation to maintain equality!

Learn how to solve the equation 20x + (4/3)y = 9 for y in terms of x with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations with variables. Suitable for students in Grades 7-9.

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