Final answer:
The sum of the algebraic expressions (-5y⁵ + 7y⁴) + (-y) is -5y⁵ + 7y⁴ - y. The terms are simply combined as there are no like terms with -y.
Step-by-step explanation:
The question is asking for the result of adding two algebraic expressions involving powers of y. To find this sum, we simply combine like terms, which are the terms that contain the same powers of y. There are no like terms with -y, so we keep it as it is.
The sum of (-5y⁵ + 7y⁴) + (-y) is -5y⁵ + 7y⁴ - y. This is because each term is distinct in terms of its power of y, so they do not combine with any other terms in the expressions.
Thus, the correct answer to the question given is:
-5y⁵ + 7y⁴ - y