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