Looking for an accurate translation of an English phrase to Latin

Question

I am looking for a better or more accurate translation of the following phrases:

”happiness at the expense of no one”

”happiness at no one’s expense”

”at no man’s expense”

”happiness at no harm to another”

“at no one’s expense”

Answer 1

I would break it down to the following vocab words:

felicitas/gaudium = happiness/joy

detrimentum = detriment

nemo = nobody

noceo = to harm

"gaudium detrimento nemini" = happiness with the detriment to nobody = happiness at nobody's expense (using dative of reference)

"gaudium nemine nocito" = happiness with nobody hurt = happiness at no harm to another