Am I doin' it right??

It finally came to a head last night.  As far as I am concerned little white lies are the same as any other lie.  I don't care what anyone says, it is HARD to be a single full time parent.  Period.  I have to be Mom and in some cases Dad too.  It's frustrating, and quite honestly not fun.  So yesterday, I asked Dano to put the dishes in the dishwasher away and put the dirty dishes in, feed the dogs and get herself ready for school.  NOTHING happened, besides getting to school.  I asked her if the stuff was done at that time, and the response was "Almost".  I know what ALMOST means.  Not even close, haven't touched it, what was I supposed to do again?   I let it go.  We got home yesterday, and I saw the dishes, and we were putting away a few groceries.  Dano was going on and on about the back to school dance that is tonight.  Long story short, told Dano 2 more times to get the dishes done.  Didn't happen until about 7:30 last night, after I finally YELLED at her to get off her butt and do it NOW.  I lost it.  I told her she was a liar (technically she is) and that she KNOWS everything I've had to go thru with Donor and court for the last year, OVER a year, and this is how she is treating me.  I have to tell her 5,6 or 7 times to do something that should take ONE time go make her get up and DO IT.  I'm tired.  I can't be the good guy (Mom) AND the bad guy at the same time.  It's impossible.  Last night I turned into "Dad".. and very similar to her actual one.  She cried, a LOT.  Hysterically even.  After all I said to her, I didn't even FEEL BAD about it!  I knew I was right and I was just FED UP to here with all the bullshit.  She's 12 FFS!!!  Anyway, she kept saying I'm sorry.. I said for what? You aren't SORRY, you are upset you got caught LYING to me...  she said No, I'm sorry for disappointing you.   Ok WOW.  That's the worst feeling for ME personally, disappointing someone.  I hate feeling that I let someone down.  For whatever reason, it just crushes me.  Apparently that rubbed off on her.. Thank GOD.  I am not one to hold grudges WITH HER only.  Everyone else, no problem.  I can't do that to Dano.  She stopped crying and we talked more.  I apologized for yelling at her, but I said I wasn't sorry for calling her out.  She told me to not be sorry that it was her fault, and she was wrong, and she has to make things right with me.   And the dance.. I asked WHY I should let her go... (she was soo excited to go) and she told me "You shouldn't.  I don't deserve to go"..  I said you can tell all your friends how mad at me you are that I'm not going to let you go.  She was shocked but she said, "No, I'll tell them I lied to you and I can't go".   We'll see how that goes.   It is really hard to raise a kid, by yourself.  Literally, no family, no grandparents to help, no aunts or uncles to do anything... it's just "US"..  I really hope I am "doin it right"...