What does 会えて mean?
また会えて嬉しいよ。
Looks like that 会えて is a some form of 会う (to meet), but the question is, what form? Jisho doesn't recognise the word “会えて”.
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Sign up to join this communityIt's the te-form of 会える, which is the potential form of 会う. The potential form by itself conjugates like an ichidan verb.
See also: Potential form verbs followed by adjectives to end a sentence have to be in te form?
It's the potential form, meaning "can meet" or "is able to meet".
See here for a reference on the conjugation. It states:
U-verbs: replace the final "~u" with "~eru".
So, where "また会って嬉しいよ。" means "It was great to see you again.", "また会えて嬉しいよ。" has more of a nuance of "It was great to have the opportunity to see you again."