When we talk about something "frees up", we usually mean that it becomes available or unoccupied. However, there are many alternate words and phrases that can be used to convey this meaning, depending on the context. Some synonyms you might consider using include "liberates", "unleashes", "releases", "clears", "empties", "vacates", "opens up", "unlocks", "frees", "unburdens". You might also try combining words to create new phrases, such as "frees from restraints", "allows for flexibility", or "opens the floodgates". Whatever words you choose, make sure they fit the tone and style of your writing, and help convey your intended meaning to your audience.