\[ \large \frac{\color{red}{x}}{\color{red}{x}-\color{blue}{z}} + \frac{\color{blue}{z}}{\color{red}{y}-\color{blue}{z}}\]

If \(\color{red}{x} + \color{red}{y} = 2\color{blue}{z}\) and \(\color{red}{x} \ne \color{blue}{z},\) find the value of the expression above.

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