Provide the missing reason in the following proof.
statement:
y + 0 = y
a. symmetric property
b. additive inverse property
c. additive identity property
d. opposite of a sum property

Well lets look at each
A. symetric property is if a=b then b=a
this is not the answer

B. aditive inverse is adding the inverse so
that would be x+(-x)=0 which is not this one

C. additive identity property, the identity stays the same if you add 0
so x+0=x
this is the answer

D. opposite of a sum property, this is adding a negative or
x-y=x+(-y)

the answer is C