Is it right to move out with your boyfriend at the age of 18?
That depends on what you mean by "right." If you're 18, you're an adult. If you think you can behave like one and support yourself and believe you're ready to live responsibly and independently, then there's nothing wrong with finding your own place, or sharing one with a roommate. However, many people still look disapprovingly upon people "cohabitating" or living together outside of marriage. Many consider "fornication" -- that is, having sexual relations with someone other than one's spouse -- to be immoral, even sinful. I suspect you don't share those beliefs. If you don't, there's little wrong with what you are proposing.
What happens if your legal gurdian denys your right to move out at the age of 18 while still in High School?
Can you move out of your house in Kentucky at the age of 17 and move into an apartment with your boyfriend who is 18 without getting into trouble?
You are legal guardian of your niece she will be 18 yrs old and she is pregnant and is going to move out in a few weeks with her boyfriend and his family does she have this right?
What's the legal age to move out in Indiana if you're 17 and your boyfriend is 24 and is it legal to move out and live with him?
You can not move anywhere without parental consent until you are 18. Whether you can have sex or not with your boyfriend depends on the laws where you live and since you are below age of consent there better be close in age exemptions or he is guilty of statutory rape. Your parents can not give consent to that, only the law applies.
A 16 year old girl can not move out of her parents house to go and live with her 18 year old boyfriend, because she is not of age and she is not grown. DSS can and will step in if the parents allow this young lady to move. If she attemps to run away from home and move in DSS will remove her from the home.