The inequality is:

$12x + 12 < -12y + 12$

Let's solve this step by step.

Step 1: Simplify both sides

First, subtract $12$ from both sides to remove the constant on the right-hand side:

$12x + 12 - 12 < -12y + 12 - 12$

This simplifies to:

$12x < -12y$

Step 2: Divide both sides by 12

Now, divide both sides of the inequality by 12:

$x < -y$

Final Answer:

The solution to the inequality is:

$x < -y$

This means that $x$ must be less than the negative of $y$.

Do you need more details or have any questions?
Here are 5 related questions you might want to explore:

1. How do you graph the inequality $x < -y$?
2. How does dividing or multiplying by a negative number affect inequalities?
3. What is the difference between $x < -y$ and $x > -y$?
4. How can inequalities be used to define regions on a coordinate plane?
5. Can you solve an inequality with more complex terms, such as $x^2 + 12x < -y^2 + 3y$?

Tip: When dividing or multiplying both sides of an inequality by a negative number, always remember to flip the inequality sign!