I'm no plumber either, just a carpenter who's spent a bit of time on building sites and also designed and installed the plumbing and drainage on a couple of 24M boats (8 x bathrooms, 2 x galleys each + holding tanks, sumps with auto pumps, salt water for toilet flush etc etc), these were commercial vessels in survey, but you don't need to use a licensed plumber and we couldn't get any to do the jobs the way we wanted. Anyway, like Al says, you don't need that mess in the middle.
From left to right you've got a one way valve, a pressure limiter/strainer with an over pressure valve above it. The pressure limiter will be doing what its name suggests and if the strainer is full of crap then that will reduce your pressure as well. Maybe there was a hot water system there at one stage and the DIY man from hell decided to remove it and reconnect stuff. You don't need any of it. I'd turn off the tap and remove all the crap then fit a male to female elbow to the tap, shorten the pipe that goes upstairs and use a compression fitting to attach it to the new elbow. Simple, quick and no brazing needed.
Mick