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Simplifying -3y + 9(2y + -6) = -5 + 8(9 + -1y) Reorder the terms: -3y + 9(-6 + 2y) = -5 + 8(9 + -1y) -3y + (-6 * 9 + 2y * 9) = -5 + 8(9 + -1y) -3y + (-54 + 18y) = -5 + 8(9 + -1y) Reorder the terms: -54 + -3y + 18y = -5 + 8(9 + -1y) Combine like terms: -3y + 18y = 15y -54 + 15y = -5 + 8(9 + -1y) -54 + 15y = -5 + (9 * 8 + -1y * 8) -54 + 15y = -5 + (72 + -8y) Combine like terms: -5 + 72 = 67 -54 + 15y = 67 + -8y Solving -54 + 15y = 67 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -54 + 15y + 8y = 67 + -8y + 8y Combine like terms: 15y + 8y = 23y -54 + 23y = 67 + -8y + 8y Combine like terms: -8y + 8y = 0 -54 + 23y = 67 + 0 -54 + 23y = 67 Add '54' to each side of the equation. -54 + 54 + 23y = 67 + 54 Combine like terms: -54 + 54 = 0 0 + 23y = 67 + 54 23y = 67 + 54 Combine like terms: 67 + 54 = 121 23y = 121 Divide each side by '23'. y = 5.260869565 Simplifying y = 5.260869565
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