To solve for \( y \) in the equation \( x - 2y = 1 \):

1. Start with the original equation:
   \[
   x - 2y = 1
   \]

2. Subtract \( x \) from both sides:
   \[
   -2y = 1 - x
   \]

3. Divide both sides by \( -2 \) to isolate \( y \):
   \[
   y = \frac{1 - x}{-2}
   \]

4. Simplify the equation:
   \[
   y = \frac{x - 1}{2}
   \]

So the solution for \( y \) is:
\[
y = \frac{x - 1}{2}
\]

Would you like more details or explanations?

Here are five related questions you might find helpful:
1. What are some alternative ways to manipulate equations to isolate a variable?
2. How does solving for \( y \) differ if there are more terms in the equation?
3. How can this equation be represented graphically?
4. What if \( x - 2y = 1 \) were a part of a system of equations? How would that change the approach?
5. How would the solution change if there was a constant added to the equation?

**Tip:** Always perform the same operation on both sides of the equation to keep it balanced!

Learn how to solve the linear equation x - 2y = 1 for y with a clear step-by-step solution. This guide covers key algebraic concepts, including isolating a variable and basic algebraic manipulation. Suitable for students in Grades 6-8.

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