Imagine you're putting together a puzzle and you have a bunch of pieces. Some pieces are more important than others depending on where they go in the puzzle. In a non-configurational language, words are like puzzle pieces - they can be moved around and still make sense because the important parts of the sentence can be understood from their endings or beginnings.
For example, in English we say "I went to the store yesterday." In a non-configurational language, you might say "Store I went to yesterday." Even though the words are different, we can still understand the meaning.
Non-configurational languages also have a flexible word order, meaning the order of the words can change without changing the meaning of the sentence. It's like changing the order of the puzzle pieces but still being able to make the same picture.
Some examples of non-configurational languages include Japanese, Navajo, and Hungarian.