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Disclaimer: I don't do web design work in a freelance manner, and is just something I do as required by my current job/projects, so I can't assess what a web designer makes all by itself. However, I found this article, and it may be of use. I didn't fully read it, but I skimmed through it to make sure it's relevant. Hope it helps.
https://skillcrush.com/2014/03/11/how-to-charge-rates-web-design-freelance/