Discouraged
You graduated two weeks ago...statistically it takes 2-3 years to build sufficient clientele to make a decent living. The first year is the MOST difficult.
I'm afraid Pete's right -- and there's no way around this. Two to three *years*. Not weeks. Not months.
Have you sent a letter to every single person you know, announcing that you're in business? Friends, family, former co-workers, cousins, church members, classmates, sports team buddies, whatever.... they need to know you're looking for business, too.
Perhaps you can make your marketing machine mobile -- take materials with you to work on while you're in the Y's neighborhood, and just stay there for most of the day if the drive is killing you (have a pager or cell phone so they can reach you). Maybe there's a coffee shop nearby where you don't have to spend a lot of money, but can spend a lot of time, and then just go home at the end of the day? Maybe this coffee shop would love for you to do some chair massage there?
Other potential chair massage places: health food store, book store. Walk in there with confidence, your best smile, firmest handshake, and stack of business cards, and introduce yourself. A face-to-face intro might get you farther than written chair massage proposals.
Get the book _Marketing Massage_ by Monica Roseberry -- it's excellent. And available on amazon.com.
Texas-gal is right, too -- either market yourself at the Y and make a go of it, or move on. You can't rely on the Y to market for you, even if it seems that they will. Sorry if that sounds harsh, but it's true -- in the beginning, all you have is time. Make the most of it! It will pay off in the end.
Also, I forget whether you can do chair massage at the Y? If the regulars there can meet you first through chair massage (make sure you charge for it), they may be more likely to book an appointment with you.
Keep at it!! And good luck!