Extended Euclid’s Algorithm base case

GCD 04 : Extended Euclid’s Algorithm
At 12:38 in the video,
we get this equation in the end:
6x4+0y4=gcd(6,0)=6
From this we get x4=1, so:
6+0y4=6
0y4=0
But how can you conclude that y4 is 0? y4 can take any Real value since 0*anything = 0

you can take anything totally depends on you… for simplicity we take zero…

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