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The given equation is:

\[
y + 3 = \sqrt{\frac{c(x^2 - 7)}{p}}
\]

To solve for \(y\), let's go through the steps:

### Step 1: Isolate the square root
Subtract 3 from both sides of the equation:
\[
y = \sqrt{\frac{c(x^2 - 7)}{p}} - 3
\]

This is the expression for \(y\) in terms of \(x\), \(c\), and \(p\).

Would you like to explore further, such as specific values or solving for other variables? Feel free to ask for more details!

Here are 5 related questions that build on this equation:
1. How would you solve this equation for \(x\) instead of \(y\)?
2. What happens if \(p = 0\) in the original equation?
3. How can you verify that this equation holds for specific values of \(x\), \(c\), and \(p\)?
4. How can this equation be transformed into a quadratic form to solve for \(x\)?
5. What are the conditions under which the square root term is defined?

**Tip:** Always check the domain of the square root function to ensure that the expression inside the square root is non-negative.

Solve for y in the equation: y + 3 = sqrt((c(x^2 - 7))/p)

Learn how to solve the equation y + 3 = sqrt((c(x^2 - 7))/p) by isolating y. This step-by-step guide will walk you through the algebraic process of dealing with square roots and solving for a variable. Perfect for students in Grades 9-11.

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