Hello, and sorry you're having problems. We are now connected on this website- which saves you money over having a Tech come to your home, and in many cases we can fix the problem you're having. In other cases, these things do require additional parts to fix. But I can help you with that as well.
Offhand a 6 blink code on this Sony set indicates a backlight failure in the LCD screen, which means the backlight inverter circuit in the TV needs to be replaced. This type of repair is typically $250 parts and labor in your set, and while it is repairable- a brand new 48" LED TV typically starts at around $350- which will have much better resolution and clarity than this Sony.
I'm sorry for the bad news and wish there were a quick fix. If you still would like to have the set repaired, then you can locate a tech at the link below:
Other than that, I'm sorry for the bad news and wish there were a quick fix.
Feel free to reply back if you need more help, or want to reply back with more details. It does not cost you anything more to reply back once you've rated. Please do rate me positively (at least 3 STARS) and I will continue with you until this is sorted. The positive rating ensures I am credited for my work.