morally
In a way that follows what is right or wrong.
Morally means in a way that relates to right and wrong behavior, or to the principles that guide how people should treat each other. When you act morally, you're doing what you believe is right, even when no one is watching or when it might be harder than doing something wrong.
If a student finds a wallet full of money and returns it to its owner, they're acting morally. They could have kept the money, but they knew returning it was the right thing to do. When someone says “I'm morally opposed to cheating,” they mean their deepest sense of right and wrong tells them cheating is unacceptable, regardless of whether they'd get caught.
The word connects to your conscience, that inner voice that helps you know whether an action is right or wrong. Something can be morally right (helping someone in need) or morally wrong (lying to get a friend in trouble). Different people and cultures sometimes disagree about specific moral questions, but the word itself simply means you're thinking about behavior through the lens of right and wrong rather than just what's convenient, fun, or profitable.
When you're morally responsible for something, you're accountable not just legally but according to deeper principles about how people ought to behave.