IPA: /ˌjuːnɪˈvɜːrsəli/
KK: /junɪˈvɜrsəli/
In a way that applies to all cases or situations; everywhere or always.
The rules apply universally, meaning everyone must follow them.
Universally → It is formed from "uni-" (meaning one) and "versus" (meaning turned). The word "universally" means in a manner that applies to all or in one direction, indicating something that is true for everyone or everything.
Think of 'one' ('uni-') direction or application for all — that's why universally means something that applies to everyone.