Leave out all the rest!

Algebra Level 5

\[\large 3x^{2} - 18x + 4y^{2} -32y +91 = 300\]

Given that \(x, y\) are real numbers that satisfy the equation above, find the maximum value of \(x^{2} + y^{2} +2xy -14x-14y +49\).

PS : This problem can also be solved without using Jensen's Inequality.

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