Genesis 44:33
Now therefore, I pray thee, let thy servant abide instead of the lad a bondman to my lord; and let the lad go up with his brethren. Now therefore, I pray thee, let thy servant abide instead of the lad a bondman to my lord; and let the lad go up with his brethren.
Judah's plea is to stay himself as bondman and slave to his lord in place of the lad, and to let the lad go up and return home to his father with his brethren. The offer was made to Joseph apart from the rest of the brothers. It is noble and self-sacrificing, with Judah willing to bear the cost himself rather than let Benjamin bear it. The plea was made in intense distress.
Judah had pledged himself as surety for Benjamin, to bring him back to his father or bear the blame forever if he did not. The offer was driven by love and care for his father Jacob and concern for his father's grief. Judah offered himself because he could not bear to face or meet his father without Benjamin with him, and was unwilling to see the evil that would come on his father. He pleaded that his father's life is bound up in the lad's life, so that separation from Benjamin would kill him and he would go down with sorrow to the grave.
He pleaded his father's great grief at the loss of Joseph, and that Benjamin is all that is left of the mother his father loved. The offer reveals the brothers' changed true feelings and changed character and gives the fruits of true repentance for their past wrong course, satisfying Joseph's test and recognized by Joseph as evidence of true repentance.