"make a room in your house ready for me." Paul is addressing Philemon here, so the word "prepare" is singular. (See: [[rc://en/ta/man/translate/figs-you]])
# for I hope that through your prayers I will be given back to you
Paul is confident that he will return to Philemon and the other Christians there. This can be stated in active form. Alternate translation: "for I confidently expect that God will answer your prayers and send me back to you" (See: [[rc://en/ta/man/translate/figs-activepassive]])
# your ... you
These words are plural and refer to Philemon, Apphia, Archippus, and the other Christians that meet in their home. (See: [[rc://en/ta/man/translate/figs-you]])