Sunday is my cheat day
Why do you mean by cheat day?
I don't eat unhealthy food on daily basis so I allow myself to cheat on Sunday.
Dieting is hard so it is good to allow yourself a system in which you think you will have an easier time using. That way you won't set a goal that you will never be able to accomplish.
I think I would rather just eat unhealthy and work out.
You don't need to go to extremes. You should consult a nutritionist if you can afford one or you can just go online to look for some more information about ideal diet.