To solve for $y$ in the equation $9y - 3x = 18$, follow these steps:

Step 1: Isolate the $y$-term.

Add $3x$ to both sides of the equation to get: $9y = 3x + 18$

Step 2: Solve for $y$.

Now divide everything by 9 to isolate $y$: $y = \frac{3x + 18}{9}$ Simplify: $y = \frac{3x}{9} + \frac{18}{9}$ $y = \frac{x}{3} + 2$

So, the solution is: $y = \frac{x}{3} + 2$

Would you like more details on how the simplification was done, or any other part of the process?

Here are some related questions you might find helpful:

1. How do you solve linear equations with two variables?
2. What is the slope-intercept form of a linear equation?
3. How do you graph the equation $y = \frac{x}{3} + 2$?
4. What is the slope and y-intercept of the line $y = \frac{x}{3} + 2$?
5. How do you convert between different forms of linear equations?

Tip: When solving equations, always aim to isolate the variable step by step, using inverse operations (addition/subtraction, multiplication/division).