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!