36=

∣6−5y∣

There are two possibilities for the equation 36 = |6 - 5y|.

1) 6 - 5y = 36
Subtracting 6 from both sides yields:
-5y = 30
Dividing both sides by -5 gives:
y = -6

2) -(6 - 5y) = 36
Distributing the negative sign gives:
-6 + 5y = 36
Adding 6 to both sides results in:
5y = 42
Dividing both sides by 5 gives:
y = 8.4

So, the two possible solutions to the equation are y = -6 and y = 8.4.