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Simplifying 5(y + 7) = 3y + 29 Reorder the terms: 5(7 + y) = 3y + 29 (7 * 5 + y * 5) = 3y + 29 (35 + 5y) = 3y + 29 Reorder the terms: 35 + 5y = 29 + 3y Solving 35 + 5y = 29 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 35 + 5y + -3y = 29 + 3y + -3y Combine like terms: 5y + -3y = 2y 35 + 2y = 29 + 3y + -3y Combine like terms: 3y + -3y = 0 35 + 2y = 29 + 0 35 + 2y = 29 Add '-35' to each side of the equation. 35 + -35 + 2y = 29 + -35 Combine like terms: 35 + -35 = 0 0 + 2y = 29 + -35 2y = 29 + -35 Combine like terms: 29 + -35 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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