\( 1 \leftarrow \begin{array}{l}\frac{x}{6}+\frac{y}{5}=1 \\ \begin{array}{l}\text { Solve the equation for } y \text {. } \\ \text { (Simplify your answer, Use integers or fractions for any numbers in the expression.) }\end{array} \\ \end{array} \)
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To solve the equation \(\frac{x}{6} + \frac{y}{5} = 1\) for \(y\), we first isolate \(\frac{y}{5}\) by subtracting \(\frac{x}{6}\) from both sides: \[ \frac{y}{5} = 1 - \frac{x}{6} \] Next, we eliminate the fraction on the left side by multiplying both sides by 5: \[ y = 5 \left(1 - \frac{x}{6}\right) \] Distributing the 5 gives: \[ y = 5 - \frac{5x}{6} \] To express this in a simpler form, we can rewrite it as: \[ y = 5 - \frac{5}{6}x \] Thus, the final expression for \(y\) is: \[ y = 5 - \frac{5}{6}x \]