Constant crashes on 2012 Macbook Pro

Have you attempted to run the computer with the original RAM installed? Based on many reports here on the forum, PNY brand RAM, doesn't play well with a Mac.

Shut down/power off - is the best way to clear out ram after a crash -- sometimes a crashed application does not close out and remains running - then power up -- from another site - recommends shutting down Yosemite regularly to clean up memory.

Yosemite changes the way both RAM and VM are used. If you are used to having open a certain number of applications on your desk top in earlier releases with no problem - loading the same applications with Yosemite may cause Memory pressure.

Yosemite puts your entire application into RAM - unlike earlier releases where it put some in VM (pages in) if you see pages out swapping is occurring.

In order to keep active applications in RAM (those that have activity) Yosemite may compress parts of memory -- if its still not enough for active processes it Kills processes that have had no activity in a certain amount of time, only as a last resort will it swap active processes to VM.

I see 2 downsides to Yosemite: First Killing processes: Some applications may crash because the caller of a process opens it with initialization of some field then tries to call the same application after it has been killed - but is assuming it is running. Second: Compress of Memory - compression of information has one quick - very rare - the data compresses into an instruction that signifies end of data when it really isn't. Both problems would not occur if you have enough ram to run everything you have open.

The crash reports you posted almost certainly implicate RAM that is not meeting Apple's stringent specifications. Nothing else matters.

Don't even bother testing it. Return it for a cash refund, purchase memory from a vendor known to support Macs (read below), and spread the word on /r/AppleHelp.

Other than Apple there are only two memory vendors with which I have personal experience and can recommend: Crucial and OWC. People have reported problems with many other brands, yet Crucial and OWC's prices are as good as any you are likely to find. You may also find brands recommended by other ASC contributors but I have no experience with them.

Go to Crucial and download the little app that examines your system and recommends RAM upgrade options.

I've found decently priced Crucial RAM

Make sure the Crucial RAM you obtain is specifically for the Mac. The package will bear the familiar "Mac" logo:

If it does not it might be OK, but I'd be suspicious of it only because all the Crucial RAM I purchased had that logo on the package.

The computer wasn't turned off, ...

Ouch. Sometimes you can get away with that. I suspect in this case the result of removing RAM from the operating Mac was corrupting the PNY SSD though, and from what you describe Disk Utility is unable to fix it...? What specific error is it reporting?

Your recourse may be replacing the SSD with the HDD you removed, or something else Disk Utility can format so that OS X can be installed. I don't know anything about PNY's SSD products, and if Disk Utility can't fix it I have no other suggestions.