"Stable" means that something is very solid and not likely to change or fall apart easily. Imagine building a tower out of blocks - if the blocks are all straight and sturdy, the tower will stand up tall and won't wobble. But if the blocks are crooked or weak, the tower might fall down.
When we talk about something being "stable," we might be talking about a lot of different things - like a building that is strong and won't collapse, or a person's emotions that are steady and not easily overwhelmed. It just means that the thing we're talking about is very reliable and trustworthy, and we can count on it to be consistent.