I was diagnosed with Hashimoto's when I was 19. I'm on 125 mg of levothyroxine and I have eleventy symptoms. My arms feel like dead weights if I so much as lift them over my head for a few seconds, my eye-lids are swollen, I sleep as much as they will let me (I actually make my mom call me when it's time for class or I won't get up, no matter how long I've been asleep), I'm tired all the time. I'm sitting on the couch right now and I feel winded. I'm also very depressed, my hands are always shaking, I feel cold all the time, which I never did... And there's definitely more.
Another problem is that my iron and ferritin levels are extremely low and have been for years and the doctors I've seen won't really address it. They say that it's because of my period, but I don't think that's true because I stopped getting my period for 2 years when I reached my highest weight and then again for another year after I got burned and my they kept dropping. Iron deficiency and hypothyroidism have lots of symptoms in common and low iron affects the thyroid.
I'm trying to figure things on my own with the help of google, but it's not easy... So, I remain one big mess, even though I do know that it could be a lot worse and I'm glad it's not.

Be glad you have a doctor that treats your symptoms and try to educate yourself. Don't completely rely on anyone, that's one thing I've learned.