To solve for $y$ in the equation $2x + 5y = 10$, we need to isolate $y$ on one side of the equation. Here are the steps:

1. Subtract $2x$ from both sides to move the $x$-term to the right: $5y = 10 - 2x$

2. Divide both sides by 5 to solve for $y$: $y = \frac{10 - 2x}{5}$

3. Simplify the expression: $y = \frac{10}{5} - \frac{2x}{5}$ $y = 2 - \frac{2}{5}x$

So, the solution for $y$ is:

$\boxed{y = 2 - \frac{2}{5}x}$

Would you like more details on the steps, or do you have any questions?

Relative Questions:

1. How would you solve for $x$ instead of $y$ in the equation $2x + 5y = 10$?
2. What is the slope and y-intercept of the equation $y = 2 - \frac{2}{5}x$?
3. How would this equation change if it was given in a different form, such as slope-intercept form?
4. Can you graph the equation $y = 2 - \frac{2}{5}x$ and identify key points on the graph?
5. How does changing the coefficient of $x$ in the equation affect the graph?

Tip:

When solving linear equations, always aim to isolate the variable you're solving for by performing inverse operations step-by-step.