To solve the given equation, we need to isolate the variable, y.
First, let's simplify the equation by combining like terms on the left side:
4y^7 + 9y = 28y^10 + 63y^4
This can be rewritten as:
4y^7 + 9y - 28y^10 - 63y^4 = 0
Next, let's arrange the terms in descending order of the exponents:
- 28y^10 + 4y^7 - 63y^4 + 9y = 0
Now, we have a polynomial equation that we need to solve. Unfortunately, this equation cannot be further simplified to find a numerical solution. We can attempt to find the roots of this equation using numerical methods or a graphing calculator.