YOU SAID:
I hope this letter finds you well
INTO JAPANESE
この手紙があなたに元気を与えてくれることを願っています
BACK INTO ENGLISH
I hope this letter will cheer you up
INTO JAPANESE
この手紙があなたを元気づけてくれることを願っています
BACK INTO ENGLISH
I hope this letter will cheer you up
That didn't even make that much sense in English.