Question 39470
Let us multiply all by 4b to clear the fractions, so we get

1/2b - 1/2 = 1/4b
4b[1/2b - 1/2 = 1/4b]
2 - 2b = 1
now subtract 2, then divide by -2 and get
-2b = -1
b = 1/2
Must be a conditional equation, since an inconsistent equation has no solution, and an identity has an infinite number of solutions...