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Simplifying -3y + 9(-1y + 3) = -2 + -8(-6 + -1y) Reorder the terms: -3y + 9(3 + -1y) = -2 + -8(-6 + -1y) -3y + (3 * 9 + -1y * 9) = -2 + -8(-6 + -1y) -3y + (27 + -9y) = -2 + -8(-6 + -1y) Reorder the terms: 27 + -3y + -9y = -2 + -8(-6 + -1y) Combine like terms: -3y + -9y = -12y 27 + -12y = -2 + -8(-6 + -1y) 27 + -12y = -2 + (-6 * -8 + -1y * -8) 27 + -12y = -2 + (48 + 8y) Combine like terms: -2 + 48 = 46 27 + -12y = 46 + 8y Solving 27 + -12y = 46 + 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. 27 + -12y + -8y = 46 + 8y + -8y Combine like terms: -12y + -8y = -20y 27 + -20y = 46 + 8y + -8y Combine like terms: 8y + -8y = 0 27 + -20y = 46 + 0 27 + -20y = 46 Add '-27' to each side of the equation. 27 + -27 + -20y = 46 + -27 Combine like terms: 27 + -27 = 0 0 + -20y = 46 + -27 -20y = 46 + -27 Combine like terms: 46 + -27 = 19 -20y = 19 Divide each side by '-20'. y = -0.95 Simplifying y = -0.95
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