"让你舒畅些" can be translated into English as "to make you feel more at ease/comfortable" or "to help you feel more relaxed."
Here are a few example sentences:
1、 I hope this can make you feel more at ease.
(我希望这能让你舒畅些。)
2、 Let me do something to help you feel more relaxed.
(让我做点什么,让你舒畅些。)