Help! Two orchids but only one is sick!??

[inbackyards]

So I am extremely NEW at Orchids! I'm not even entirely sure what exact kind of Orchid I have...

I just got it probably about a month and a half ago.

When I first bought it the stem on the right had 3 flowers and a small bud. The stem on the left was all buds. Everything was fine until I watered it for the first time and the very next day all the buds on the stem on the right started to fall off and all the buds on the stem on the left started budding.

I know Orchids lose their flowers eventually so I just thought maybe it was normal but when the stem started dying I thought maybe it was getting too much light. I really wasn't sure but where I had it located the stem on the right was getting a little more light so I have since moved it to a different location where they both get the same amount.

Nothing has changed. The stem on the right is still very slowly turning brown and the stem on the left seems to be doing great (althought I haven't noticed too much growth in the one new bud at the top).

How is it that only one of them is dying if they're in the same pot and are receiving all the same care!??

Should I trim the stem on the right down to the first green node??

What should I do!