Final answer:
The provided expression is already simplified, as there are no parentheses to remove and no like terms to combine. Therefore, the expression remains as -6xy^6 + 8y^2 - 7x^4 + 3.
Step-by-step explanation:
The student's question appears to be asking for help in simplifying a mathematical expression, but the question might be incomplete or contain some typos. However, from what is provided, we can address the concept of simplifying expressions by removing parentheses and combining like terms. If the question was to rewrite the expression -6xy⁶ + 8y² - 7x⁴ + 3 without parentheses and simplify, the first step is to note that there are no parentheses in this expression, so we only need to combine like terms.
To simplify, look for terms with the same variables raised to the same power. In this case, there are no like terms to combine, so the expression is already in its simplest form: -6xy⁶ + 8y² - 7x⁴ + 3.