The equation you've provided is in the standard form of a linear equation. To interpret or manipulate it further, we could do a variety of things, such as solving for one of the variables, graphing it, or finding intercepts.
If you'd like to solve for \(y\) in terms of \(x\), you can rearrange the equation:
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Start with the equation: \[ 4x + 5y = 20 \]
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Subtract \(4x\) from both sides: \[ 5y = 20 - 4x \]
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Divide each term by 5: \[ y = \frac{20 - 4x}{5} \]
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Simplify: \[ y = 4 - \frac{4}{5}x \]
This gives you the slope-intercept form \(y = mx + b\), where \(m = -\frac{4}{5}\) and \(b = 4\).
If you need further assistance, such as finding specific values for \(x\) and \(y\), or any other related task, please let me know!