Can you solve this 5 radicals problem?

Algebra Level 5

\[\sqrt{x - y - 3} + \sqrt{y ^ {2} - 9y + 3x} = \sqrt[3] {30x - 30 y + 35} + \sqrt{3 + y - x} \]

If reals \(x\) and \(y\) satisfy the equation above and \( z = \sqrt[5]{2.4x +0.7y} \), then find the sum of all possible values of \(z\).

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