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7) $15 - (2y + 7) = 14$

Question

  1. $15 - (2y + 7) = 14$

Explanation:

Step1: Simplify the left side

First, we distribute the negative sign to the terms inside the parentheses: \(15 - 2y - 7 = 14\). Then combine like terms: \(8 - 2y = 14\).

Step2: Isolate the variable term

Subtract 8 from both sides of the equation: \(8 - 2y - 8 = 14 - 8\), which simplifies to \(-2y = 6\).

Step3: Solve for y

Divide both sides by -2: \(\frac{-2y}{-2} = \frac{6}{-2}\), so \(y = -3\).

Answer:

\(y = -3\)