The combative midfielder replaced China-based Mubarak Wakaso with 12 minutes left on the clock as the Ghanaian run riot at the Accra Sports stadium.
Blay was shown a yellow card in the 84th minutes as the four-time African champions strolled to victory at home to end the qualification battle in style.
France-based Nicholas Opoku opened the scoring after jumping high like a bird inside the box to head in a corner kick from the right taken by Kudus Mohammed on 12 minutes to give Ghana the lead.
Crystal Palace striker Jordan Ayew increased the tally to two from the spot-kick before Rahman added the third in the second half.
Goalkeeper Razak Abalora gifted the visitors a goal after Jokceleny Fernandes Carvalho capitalized on a goalkeeping howler to grab a consolation.
Ghana ends Group C as winners on 13 points and qualify alongside Sudan who dished out a 2-0 win over South Africa. Read Full Story
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