Question
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Solve the equation for \( y \). \( \begin{array}{l}4 x+7 y=28\end{array} \) \( y=\square \) (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Ask by Harris Adkins. in the United States
Feb 04,2025

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Answer

\( y = \frac{28 - 4x}{7} \)

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The Deep Dive

To solve the equation \( 4x + 7y = 28 \) for \( y \), we start by isolating \( y \). 1. Subtract \( 4x \) from both sides: \[ 7y = 28 - 4x \] 2. Now, divide both sides by \( 7 \): \[ y = \frac{28 - 4x}{7} \] 3. We can simplify this: \[ y = 4 - \frac{4}{7}x \] Thus, the simplified expression for \( y \) is: \[ y = 4 - \frac{4}{7}x \]

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