The Pilgrims, who are now unbeaten in five, took the lead with their first effort on goal after 39 minutes as Graham Carey picked out Ruben Lameiras on the edge of the box and his low strike beat Ben Williams at his near post.
Carey doubled Plymouth’s lead on the stroke of half-time with a sensational goal, striking a dropping ball over his shoulder from the left edge of the area which looped over Williams and into the far corner.
But the Seasiders were back in it after 55 minutes through Colin Daniel, who latched onto a clearance from a corner and drilled in low from 20 yards.
Blackpool dominated after that goal but Plymouth came within inches of killing the game after 68 minutes as David Fox’s header hit the far post.
Gary Bowyer’s side pushed late on and got their reward as Solomon-Otabor struck a low effort from 15 yards which crept in at the near post.