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Simplifying 7(7y + 17) = 16 + 8(5y + 5) Reorder the terms: 7(17 + 7y) = 16 + 8(5y + 5) (17 * 7 + 7y * 7) = 16 + 8(5y + 5) (119 + 49y) = 16 + 8(5y + 5) Reorder the terms: 119 + 49y = 16 + 8(5 + 5y) 119 + 49y = 16 + (5 * 8 + 5y * 8) 119 + 49y = 16 + (40 + 40y) Combine like terms: 16 + 40 = 56 119 + 49y = 56 + 40y Solving 119 + 49y = 56 + 40y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40y' to each side of the equation. 119 + 49y + -40y = 56 + 40y + -40y Combine like terms: 49y + -40y = 9y 119 + 9y = 56 + 40y + -40y Combine like terms: 40y + -40y = 0 119 + 9y = 56 + 0 119 + 9y = 56 Add '-119' to each side of the equation. 119 + -119 + 9y = 56 + -119 Combine like terms: 119 + -119 = 0 0 + 9y = 56 + -119 9y = 56 + -119 Combine like terms: 56 + -119 = -63 9y = -63 Divide each side by '9'. y = -7 Simplifying y = -7
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