Euro-Slavism is a fancy word to describe a way of thinking that wants people from Europe and people from the Slavic countries to work together to understand and help each other. Europe is like a big club made up of lots of countries, and the Slavic countries are a group of countries in Eastern Europe.
Imagine going to a party where you don't know anyone. It might be scary at first, but if you meet someone who is interested in the same things as you, you might become friends and have a better time together. Euro-Slavism is like this. It's about trying to have a good time by working together with people who might seem different from you but have a lot in common.
People who believe in Euro-Slavism think that the Slavic countries are important and should be part of Europe too. They also believe that everyone in Europe should be treated equally and have the same rights. Just like how you and your friend might both want to play with the same toy, Euro-Slavism is about sharing and treating everyone fairly so that everyone can be happy.