To convert into a home, to domesticate, or to bring under one's dominion.
From Latin 'domus' (home/house) + '-ify' (to make). A back-formation related to domification, meaning to transform something by making it homelike or subjecting it to one's rule.
Domify is almost extinct as a word, but it reveals how English speakers in earlier centuries tried to create verbs from Latin root concepts—they'd literally say someone could 'domify' a wild animal (make it home-like) or 'domify' a territory (make it your domain).
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