Where does “изгои” come from?

изгои (Old East Slavic) comes from Proto-Slavic gojiti, from Proto-Balto-Slavic gájīˀtei.

Ancestry of “изгои”, step by step

StepLanguageWordMeaning
1Proto-Slavicgojitito treat, heal; to feed
2Proto-Balto-Slavicgájīˀtei—
Every word from Proto-Balto-Slavic gájīˀtei →Every word from Proto-Slavic gojiti →