To solve the equation \( 2.6 = 0.4 - \frac{0.5}{y} \), we can start by isolating \( \frac{0.5}{y} \).
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Rearrange the equation: \[ \frac{0.5}{y} = 0.4 - 2.6 \]
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Calculate \( 0.4 - 2.6 \): \[ 0.4 - 2.6 = -2.2 \] So, we have: \[ \frac{0.5}{y} = -2.2 \]
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Now, we can set up the equation to solve for \( y \): \[ 0.5 = -2.2y \]
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To isolate \( y \), divide both sides by -2.2: \[ y = \frac{0.5}{-2.2} \]
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Simplify the fraction: \[ y = -\frac{0.5}{2.2} = -\frac{5}{22} \]
Thus, the solution is: \[ y = -\frac{5}{22} \]
If you prefer a decimal: \[ y \approx -0.2273 \]