There are so many things wrong with this I'm not even sure where to begin.
Just for starters, the maximum federal taxes due by a single person making $35k is only $3278, or 9.36%. Ask any tax calculator you can find. Seriously, any one at all.
Second, the 7.5% "employee tax" you mentioned is a mystery to me. Do you mean your 7.65% OASDI deduction? Because that's a payment, not a tax. You're buying health insurance, disability insurance, unemployment insurance, and an old-age pension known as social security. And you're getting them at 50% off, because your employer is paying the other half of your premiums.
These first two points don't give a lot of confidence that you've figured your state tax correctly, but I'm willing to give you the benefit of the doubt on that one.
But why stop there? North Carolina also has a sales tax which could be as high as 8%. And even if you're renting you're still paying property taxes to your county. And I guarantee your utility bill has some hidden taxes and fees built into your monthly bill, too. Add it all up and it's almost like 50% of your paycheck is just disappearing without you getting anything at all in return.
I suggest you consider moving to one the countries that does not have an income tax. Here's a list for you to choose from:
http://www.fool.com/investing/general/2014/01/04/10-countries-with-zero-income-taxes.aspx Except don't forget most of those countries still make paycheck deductions for disability unemployment and health insurance, and your social security equivalent national pension scheme.
Or, as a friendly alternative, I suggest you consider all of these taxes as repayment of the loans your government has already made to you, by providing you with a free public education, free protection from criminals, free postal delivery, free national defense, free transportation infrastructure, free fire suppression, free environmental protections, free banking and currency regulation, free use of the judiciary and penal systems, free internet and electricity infrastructure, and the free scientific and medical research that has made your life the amazing bounty of easy awesomeness that is today. You're welcome.
Oliver Wendell Holmes once said "I like to pay taxes. With them I buy civilization."