Solve the equation. \[ 3 y+7=2 \] \( y=5 / 3 \) \( y=-3 / 5 \) \( y=-5 / 3 \) \( y=3 / 5 \)
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The Deep Dive
To solve the equation \( 3y + 7 = 2 \), start by isolating the term with \( y \). Subtract 7 from both sides: \[ 3y = 2 - 7 \] \[ 3y = -5 \] Next, divide both sides by 3 to find \( y \): \[ y = \frac{-5}{3} \] So, the correct answer is \( y = -5/3 \). Now, remember that solving linear equations often requires careful attention to the order of operations, especially when rearranging terms. A common mistake is misapplying the subtraction or forgetting to divide by the coefficient of \( y \). Double-checking your steps can save you from simple errors!
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