You can use those phrases in dialogue.
"I felt really bad about how much I drank last night," said Steve. "Now I have a hangover, and I have important things to do today."
In prose, you might use some different wording to create narrative distance.
Sam had a blast with his friends at the pub. He drank a lot and reached home late. When he woke up the next morning, he realized he had a hang-over. He felt bad that he had drunk so much the previous night (or 'the night before').
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