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It took me a bit of reading through the luna-manager sources but it appears to install it to $HOME/.luna/bin

I'm happy that you are already familiar a little bit with Luna code! Now if you want, you can contribute to the project easily! :D

Answering a little more serious, the installation path on any Unix system is described in our documentation here: https://luna-lang.gitbooks.io/docs/content/installation.html :)