To solve for \( y \) in the equation:

\[
a = 9y + 3yx
\]

Let's go step by step.

### Step 1: Factor out \( y \) from the right-hand side.

\[
a = y(9 + 3x)
\]

### Step 2: Divide both sides of the equation by \( 9 + 3x \) (assuming \( 9 + 3x \neq 0 \)):

\[
y = \frac{a}{9 + 3x}
\]

So, the solution is:

\[
y = \frac{a}{9 + 3x}
\]

Would you like a more detailed explanation or have any questions?

Here are 5 related questions to further explore:

1. How would the solution change if \( a \) were expressed in terms of \( y \)?
2. Can you factor out common terms in a more complex expression?
3. What happens if \( 9 + 3x = 0 \)?
4. How would you solve this if there were additional variables?
5. Can you graph the equation to better understand the relationship between \( y \), \( x \), and \( a \)?

**Tip:** Always check for conditions that might cause division by zero when solving equations with fractions.

Learn how to solve for y in the equation a = 9y + 3yx with a detailed step-by-step solution. This problem covers key algebraic concepts including solving linear equations and variable manipulation. Suitable for students in Grades 7-9.

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