Exegesis:

kai apokritheis … eipen autō ‘and answering (he) said,’ cf. on 1.19.

gegraptai ‘it is written,’ cf. on v. 4.

kurion ton theon sou proskunēseis ‘you shall worship the Lord your God.’ For proskuneō cf. on v. 7, for kurion ton theon sou cf. on 1.16.

kai autō monō latreuseis ‘and you shall serve him alone.’ For latreuō cf. on 1.74; with proskuneō it has in common that both refer to God as the one who is worshipped but proskuneō appears to imply a greater reverence for God than latreuō which is a more general term. monō ‘alone’ goes with autō.

Translation:

Worship and serve are close synonyms in this context, cf. “do homage and worship” (New English Bible). In languages where the same word or phrase does duty for both verbs it may be preferable to mark the emphasizing function of the repetition, e.g. ‘yes/indeed, him only shall you worship/serve.’ For to serve see on 1.74.

For the Lord your God cf. on 1.16.

Only, or, ‘and no one else.’

Quoted with permission from Reiling, J. and Swellengrebel, J.L. A Handbook on the Gospel of Luke. (UBS Handbook Series). New York: UBS, 1971. For this and other handbooks for translators see here . Make sure to also consult the Handbook on the Gospel of Mark for parallel or similar verses.