Alright kiddo, the common-ion effect happens when two different things like to hang out together a lot. Imagine you have a delicious cake (let's call it "cake A") and a yummy ice cream (we'll call it "ice cream B"). When you eat just the cake, it tastes great on its own. When you eat just the ice cream, it tastes amazing too. But when you eat them together, the taste changes a little bit. The sweetness might not be as noticeable because both the cake and the ice cream have sugar in them, or the flavors might mix together and create a new taste.
Now, in science, chemicals like to hang out together too. We call them ions. For example, table salt (sodium chloride) is made up of sodium ions and chloride ions. These two ions like to stick together a lot, so if we have some sodium ions and add some more chloride ions, they will all want to hang out together and make more sodium chloride. This is called the common-ion effect.
To make it a bit more complicated, let's say we have some water with a little bit of salt dissolved in it. The salt will dissolve into the water to make some sodium ions and some chloride ions. If we add more salt to the water, those extra chloride ions will make the sodium chloride hang out together even more, making it harder for more salt to dissolve in the water. This is an example of the common-ion effect at work.
So, just like adding ice cream to cake can change the taste, adding extra ions to a solution can change how easily other ions dissolve or interact with each other.