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Simplifying 2(y + 7) = 7y + 24 Reorder the terms: 2(7 + y) = 7y + 24 (7 * 2 + y * 2) = 7y + 24 (14 + 2y) = 7y + 24 Reorder the terms: 14 + 2y = 24 + 7y Solving 14 + 2y = 24 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 14 + 2y + -7y = 24 + 7y + -7y Combine like terms: 2y + -7y = -5y 14 + -5y = 24 + 7y + -7y Combine like terms: 7y + -7y = 0 14 + -5y = 24 + 0 14 + -5y = 24 Add '-14' to each side of the equation. 14 + -14 + -5y = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -5y = 24 + -14 -5y = 24 + -14 Combine like terms: 24 + -14 = 10 -5y = 10 Divide each side by '-5'. y = -2 Simplifying y = -2
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