She smiled happily as she saw her family.
Meaning: The person was pleased and showed it on her face when she noticed the people she is related to.
Choice of Words: Smile is a facial expression that usually shows happiness or amusement. Happily is an adjective that means with joy or contentment. Saw means to use your eyes to notice or observe something. Family refers to a group of people who are related to each other, usually through blood or marriage.
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Related Expressions