Move website to a sub folder

Hi,

I have a blog that sits at https://www.website.com. I have duplicated this blog to https://www.website.com/newfolder.

Is there a way to save all my page ranking and page views? The whole site has just moved into a sub folder on the same domain. The main folder https://www.website.com will become a new website though, and the current content will be removed.

The theme has changed, the images are hosted on the new subfolder.

Thanks,