You have provided the following expression for $y$:

$y = \sqrt[5]{7x^2 - 3x + 5} - \frac{5}{(x-1)^3}$

Now, let's break this down:

1. The first term is the fifth root of $7x^2 - 3x + 5$, which is expressed as: $\sqrt[5]{7x^2 - 3x + 5}$

2. The second term is a rational function $\frac{5}{(x-1)^3}$, which is a fraction with the denominator $(x-1)^3$.

This is an expression, and if you're looking for a specific value or need to solve for a variable, please provide further details. Do you need help with simplifying, finding the derivative, or evaluating this function for specific values of $x$?

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Follow-up Questions:

1. Would you like to find the derivative of this function?
2. Are you looking to evaluate this expression for specific values of $x$?
3. Would you like to find the critical points or asymptotes of the function?
4. Do you want to simplify the expression further or factor any terms?
5. Are you interested in graphing the function to visualize its behavior?

Tip: When dealing with rational functions like $\frac{5}{(x-1)^3}$, be cautious of values for $x$ that make the denominator zero, as they will lead to vertical asymptotes.