With Forest 2-0 up after the first leg, Yeovil had it all to do at the City Ground to progress to the League One play-off final.
However they produced a magnificent display to overcome a strong Forest side.
Arron Davies fires past Paul Smith on 22 minutes following a slaloming run to open the scoring.
Juts after half-time, Scott Dobie equalised with a back-post header before the hosts were rocked by Alan Wright’s own goal, Marcus Stewart’s thumping header and David Proton’s red card.
The tie went into extra-time where Lee Morris put Yeovil ahead on aggregate before Gary Holt volleyed home to make it 4-4 overall.
But up popped Davies again in the 19th minute of the added period to coolly slot home and end the scoring in what was a pulsating encounter.
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Advent Calendar Day Two: Daryl Allinson
Advent Calendar Day Three: YTFC 2-1 Crawley Town
Advent Calendar Day Four: ‘What a Strike!’
Advent Calendar Day Five: A Year In Charge
Advent Calendar Day Six: Nostalgia Mode