To solve for \( y \) in the equation \( y - 5 = 3(x - 2) \), follow these steps:
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Start with the original equation: \[ y - 5 = 3(x - 2) \]
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Distribute the \( 3 \) on the right side: \[ y - 5 = 3x - 6 \]
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Now, add \( 5 \) to both sides to isolate \( y \): \[ y = 3x - 6 + 5 \]
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Simplifying the right side gives: \[ y = 3x - 1 \]
So, the final solution for \( y \) is: \[ y = 3x - 1 \]
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