This is a math problem and I am trying to solve that question to figure out how to do the rest.

Hi there! Thank you for the opportunity to help you with your question!

You are probably missing some operations (where are exponents, additions, subtractions?)

Please write "^" to indicate exponentiation, and "+", "-", "*", "/" to indicate other operations.

Assuming you mean 12y^8 + 23 = 15y^(-23)+23 then subtracting 23 from both sides:

12y^8 = 15y^-23

Multiplying both sides by y^23, and dividing both sides by 12

y^(31) = 15/12

y = (15/12)^(1/31)

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