To verify the given equation, we need to simplify both sides and check if they are equal.
Given equation: (6y^7 - 8y) = -30y^13 + 40y^7
Simplify the left side:
6y^7 - 8y = 2y(3y^6 - 4)
Simplify the right side:
-30y^13 + 40y^7 = 10y^7(-3y^6 + 4)
Now compare both sides:
2y(3y^6 - 4) = 10y^7(-3y^6 + 4)
Distribute:
6y^7 - 8y = -30y^7 + 40y^7
Combine like terms:
6y^7 - 8y = 10y^7
Therefore, the given equation is verified and correct.