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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.

This page provides a step-by-step solution for solving the linear equation ax + by = c, showing how to isolate y on one side of the equation. The solution explains inverse operations and the properties of linear equations. Ideal for students in Grades 9-11.

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