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Simplifying 7(y + 7) = 5y + 59 Reorder the terms: 7(7 + y) = 5y + 59 (7 * 7 + y * 7) = 5y + 59 (49 + 7y) = 5y + 59 Reorder the terms: 49 + 7y = 59 + 5y Solving 49 + 7y = 59 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 49 + 7y + -5y = 59 + 5y + -5y Combine like terms: 7y + -5y = 2y 49 + 2y = 59 + 5y + -5y Combine like terms: 5y + -5y = 0 49 + 2y = 59 + 0 49 + 2y = 59 Add '-49' to each side of the equation. 49 + -49 + 2y = 59 + -49 Combine like terms: 49 + -49 = 0 0 + 2y = 59 + -49 2y = 59 + -49 Combine like terms: 59 + -49 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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