The equation presented is:

$ax + by = c$

We are asked to solve for $y$. Let's isolate $y$ on one side of the equation:

Step-by-step solution:

1. Subtract $ax$ from both sides: $by = c - ax$

2. Divide both sides by $b$ to solve for $y$: $y = \frac{c - ax}{b}$

So the solution for $y$ is: $y = \frac{c - ax}{b}$

Would you like further details or explanations on any step?

Here are five related questions to expand your understanding:

1. How would you solve for $x$ in the equation $ax + by = c$?
2. What happens if $b = 0$ in this equation? How does that affect the solution for $y$?
3. How would you rearrange the equation $ax + by = c$ to express $x$ in terms of $y$?
4. Can you solve the equation if given specific values for $a$, $b$, $c$, and $x$?
5. How can this equation be interpreted geometrically in a coordinate plane?

Tip: When solving for a variable, always use inverse operations systematically to isolate the target variable.