In the diagram below (not drawn to scale), \(AGEF\) is a rhombus, \(\triangle AGB\) is an isosceles triangle, and \(FED\) is a straight line. It is given that \(\angle GAF=44^\circ\), \(\angle AGE=x^\circ\), \(\angle AGB=88^\circ\), \(\angle GED=y^\circ\), \(\angle EDB=z^\circ\) and \(\angle DBC=90^\circ\). Find the value of
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