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Simplifying 9y + 43 = 7(y + 7) Reorder the terms: 43 + 9y = 7(y + 7) Reorder the terms: 43 + 9y = 7(7 + y) 43 + 9y = (7 * 7 + y * 7) 43 + 9y = (49 + 7y) Solving 43 + 9y = 49 + 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. 43 + 9y + -7y = 49 + 7y + -7y Combine like terms: 9y + -7y = 2y 43 + 2y = 49 + 7y + -7y Combine like terms: 7y + -7y = 0 43 + 2y = 49 + 0 43 + 2y = 49 Add '-43' to each side of the equation. 43 + -43 + 2y = 49 + -43 Combine like terms: 43 + -43 = 0 0 + 2y = 49 + -43 2y = 49 + -43 Combine like terms: 49 + -43 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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