If \(y(x-1)=z\) then to solve for \(x\), we need to isolate \(x\). We begin by dividing both sides of the equation by \(y\) to get:
\(x-1 = \frac{z}{y}\)
Next, we add 1 to both sides of the equation to solve for \(x\):
\(x = \frac{z}{y} + 1\)
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