To solve the equation \(4dy + 12 = 7dy\) for \(y\), we can follow these steps in the correct order:
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Subtract \(4dy\) from both sides: \[ 4dy + 12 - 4dy = 7dy - 4dy \] This simplifies to: \[ 12 = 3dy \]
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Combine like terms (already done in step 1).
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Divide both sides by \(3d\): \[ \frac{12}{3d} = \frac{3dy}{3d} \] This simplifies to: \[ 4 = y \]
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Simplify to get your final answer: The final answer is: \[ y = \frac{4}{d} \]
So, the correct order of steps is:
- Subtract \(4dy\) from both sides.
- Combine like terms (from step 1).
- Divide both sides by \(3d\).
- Simplify to get your final answer.
Thus, the final solution is: \[ y = \frac{4}{d} \]