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Solve for y

2 (3y - 7) = 34
Simplify your answer as much as possible

y = ?

1 answer

To solve for \( y \) in the equation \( 2 (3y - 7) = 34 \), follow these steps:

  1. Distribute the 2 on the left side: \[ 2 \cdot 3y - 2 \cdot 7 = 34 \] This simplifies to: \[ 6y - 14 = 34 \]

  2. Add 14 to both sides of the equation: \[ 6y - 14 + 14 = 34 + 14 \] Which simplifies to: \[ 6y = 48 \]

  3. Divide both sides by 6 to isolate \( y \): \[ y = \frac{48}{6} \] Simplifying this gives: \[ y = 8 \]

Thus, the solution is: \[ y = 8 \]