I added an Immigration tag to this question, so hopefully some immigration attorneys can better answer your question.
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I agree with Mr. Hamer that this is an immigration law question. I am moving it to the immigration law section of avvo.
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Regardless of how long ago a crime was committed it can adversely effect your brother's green card. It is best too bring all the documentation to an immigration attorney to review the paper work.
Alexus P. Sham email@example.com (917) 498-9009. The above information is only general in nature and does not constitute legal advice. It does not create an attorney-client relationship.