Blackpool midfielder Keith Southern unleashed an unstoppable 25-yard shot into the far corner in the 28th minute to give Blackpool a 3-1 aggregate lead.
Andrew Morrell then beat Oldham goalkeeper Alan Blayney in a one-on-one in the second half to put the tie beyond the visitors, before Oldham substitute Matt Wolfenden fired in off the crossbar in the closing stages to make it 4-2 on aggregate.
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