I understand that they just are is not a very satisfactory answer, but it might help you to understand that the fact that they are electrically negative doesn’t really have a specific answer, but it does explain why they are part of an atom. There are electrically negative and electrically positive subatomic particles out there in the universe. The reason electrons are part of an atom is because protons are positive. And there is a reason for that having to do with the quark makeup of the protons.
So a proton has a net positive charge because of its subatomic makeup, and that is the reason that electrons are bound to the atom. Which doesn’t tell you why electrons are negative, but it does tell you what they’re doing there.
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