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But they had to come from behind after Anthony Pilkington found the top corner with a beautifully struck free-kick in the 25th minute.
But Villa, inspired by the superb Gabriel Agbonlahor, quickly hit back through Bent's tap-in.
Agbonlahor took advantage of calamitous Norwich defending to make it 2-1 three minutes into the second half before the Villa forward notched up his second assist, crossing for Bent to make it 3-1.