A part of my university entrance exam

Algebra Level 3

\[ \begin{cases} (1-y)\sqrt{x-y} + x = 2+(x-y-1)\sqrt y \\ 2y^2 - 3x + 6y + 1 = 2\sqrt{x-2y} -\sqrt{4x-5y-3} \end{cases} \]

Given that \(x\) and \(y\) are integers that satisfy the system of equations above, find the value of \(x+y\).

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