If \(x \neq 0\) or \(4\) and \(y \neq 0\) or \(6\), then \(\frac{2}{x}+\frac{3}{y}=\frac{1}{2}\) is equivalent to the equation \(\frac{ay}{y-b}=x\). Please determine the sum of a and b.

Let's think step by step and output the final answer within \boxed{}.
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