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The given equation is:

\[
(2a y)^3 = \frac{b}{3c} - 4x^2
\]

Would you like me to solve this equation for a particular variable, or would you prefer a step-by-step breakdown of how to handle it?

Here are 5 related questions to expand your understanding:
1. How do you expand \((2a y)^3\) in terms of \(a\) and \(y\)?
2. What is the process to isolate \(y\) in the equation?
3. How would you differentiate this equation with respect to \(x\)?
4. What happens to the equation if \(b = 0\)?
5. How can you graph the equation for specific values of \(a\), \(b\), and \(c\)?

**Tip**: When simplifying equations involving powers, always expand each term carefully to avoid mistakes in signs and coefficients.

Learn how to solve and expand the polynomial equation (2ay)^3 = (b/3c) - 4x^2. This problem involves key algebraic concepts, including the distributive property and properties of exponents. Step-by-step breakdown suitable for students in Grades 10-12.

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