The equation given is:

$5x + 5y = -10$

We can simplify this by factoring out the common factor of 5 from both terms on the left-hand side:

$5(x + y) = -10$

Next, divide both sides of the equation by 5:

$x + y = -2$

This is the simplified form of the equation. If you need to solve for either variable (x or y), we can rearrange it as:

• To solve for $x$: $x = -2 - y$
• To solve for $y$: $y = -2 - x$

Would you like to proceed with solving for a specific variable or need further explanation? Let me know!

Related Questions:

1. How do you solve for a variable in a linear equation?
2. What is the graphical representation of this equation?
3. What are the methods for solving a system of two linear equations?
4. How do you check if a pair of values satisfies a linear equation?
5. What happens if the equation was quadratic instead of linear?

Tip: When you see a linear equation like this one, look for common factors you can factor out first to simplify the equation!