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Simplifying -5y + 6(8y + 9) = 5 + 7(8 + -1y) Reorder the terms: -5y + 6(9 + 8y) = 5 + 7(8 + -1y) -5y + (9 * 6 + 8y * 6) = 5 + 7(8 + -1y) -5y + (54 + 48y) = 5 + 7(8 + -1y) Reorder the terms: 54 + -5y + 48y = 5 + 7(8 + -1y) Combine like terms: -5y + 48y = 43y 54 + 43y = 5 + 7(8 + -1y) 54 + 43y = 5 + (8 * 7 + -1y * 7) 54 + 43y = 5 + (56 + -7y) Combine like terms: 5 + 56 = 61 54 + 43y = 61 + -7y Solving 54 + 43y = 61 + -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. 54 + 43y + 7y = 61 + -7y + 7y Combine like terms: 43y + 7y = 50y 54 + 50y = 61 + -7y + 7y Combine like terms: -7y + 7y = 0 54 + 50y = 61 + 0 54 + 50y = 61 Add '-54' to each side of the equation. 54 + -54 + 50y = 61 + -54 Combine like terms: 54 + -54 = 0 0 + 50y = 61 + -54 50y = 61 + -54 Combine like terms: 61 + -54 = 7 50y = 7 Divide each side by '50'. y = 0.14 Simplifying y = 0.14
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