Luke tells about what happened to the believers who fled after the stoning of Stephen.
This introduces the new part of the story. (See: rc://en/ta/man/translate/writing-newevent)
This can be restated in the Active form. AT: "the persecution that started with the death of Stephen scattered the believers, and they spread" or "the suffering that began after the Jewish leaders killed Stephen caused many of the believers to leave Jerusalem, and they spread" (See: rc://en/ta/man/translate/figs-activepassive)
The believers thought God's message was for the Jewish people, and not for the Gentiles.
These Greek-speaking people were Gentiles, not Jews. AT: "also spoke to Gentiles who spoke Greek" (See: rc://en/ta/man/translate/figs-explicit)
God's hand signifies his powerful help. AT: "God was powerfully enabling those believers to preach effectively" (See: rc://en/ta/man/translate/figs-metonymy)
"Turned" here is a metonymy for "repented of their sins and became obedient." AT: "and they repented of their sins and became obedient to the Lord." (See: rc://en/ta/man/translate/figs-metonymy)