When expressing an idea in a new or more concise manner, we often use the phrase "put a different way". However, there are numerous synonyms to choose from when looking to switch up your language. You might consider saying "in other words" or "to put it simply". Alternatively, you could use phrases such as "rephrasing", "adjusting the language", or "reframing". Another option is to say "explaining in a new light" or "rearticulating". No matter how you choose to phrase it, the important thing is to find a way to express yourself clearly and effectively. Try experimenting with different synonyms and see which ones feel most natural to you.