Final answer:
To solve the equation y^6 = -3y^26, divide both sides of the equation by y^2 and then by y^4 to simplify the equation and find the solution.
Step-by-step explanation:
To solve the equation y^6 = -3y^26, we can start by dividing both sides of the equation by y^2, because y^6 divided by y^2 is y^(6-2) = y^4, and -3y^26 divided by y^2 is -3y^(26-2) = -3y^24.
So the equation simplifies to y^4 = -3y^24.
Next, we can divide both sides of the equation by y^4, because y^4 divided by y^4 is y^(4-4) = 1, and -3y^24 divided by y^4 is -3y^(24-4) = -3y^20.
Therefore, the solution to the equation is y = -3y^20.