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.
Answers on Avvo are for general information purposes only and should not be relied upon as legal advice. No attorney / client relationship is created by providing this answer. For specific advice about your situation, you should consult a competent attorney of your choosing.
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 firstname.lastname@example.org (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.