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Simplifying 36 + 5(1 + y) = 3(13y + 8) + -1 36 + (1 * 5 + y * 5) = 3(13y + 8) + -1 36 + (5 + 5y) = 3(13y + 8) + -1 Combine like terms: 36 + 5 = 41 41 + 5y = 3(13y + 8) + -1 Reorder the terms: 41 + 5y = 3(8 + 13y) + -1 41 + 5y = (8 * 3 + 13y * 3) + -1 41 + 5y = (24 + 39y) + -1 Reorder the terms: 41 + 5y = 24 + -1 + 39y Combine like terms: 24 + -1 = 23 41 + 5y = 23 + 39y Solving 41 + 5y = 23 + 39y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39y' to each side of the equation. 41 + 5y + -39y = 23 + 39y + -39y Combine like terms: 5y + -39y = -34y 41 + -34y = 23 + 39y + -39y Combine like terms: 39y + -39y = 0 41 + -34y = 23 + 0 41 + -34y = 23 Add '-41' to each side of the equation. 41 + -41 + -34y = 23 + -41 Combine like terms: 41 + -41 = 0 0 + -34y = 23 + -41 -34y = 23 + -41 Combine like terms: 23 + -41 = -18 -34y = -18 Divide each side by '-34'. y = 0.5294117647 Simplifying y = 0.5294117647
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