The oxidation state of an individual sulfur atom in BaSO4 = 6+
Explanation
for our case it is the oxidation number of BaSO4 = Ba + S +O=0
The oxidation state of Ba= 2+ and O=2-
= 2+ +y + (4 x2-)=0
= 2+ + y +8- =0
like terms together
=Y +2 -8=0
=y-6=0
take -6 to the other side
y= 6+