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Simplifying -3y + 9(-1y + 2) = 3 + -3(-8 + -1y) Reorder the terms: -3y + 9(2 + -1y) = 3 + -3(-8 + -1y) -3y + (2 * 9 + -1y * 9) = 3 + -3(-8 + -1y) -3y + (18 + -9y) = 3 + -3(-8 + -1y) Reorder the terms: 18 + -3y + -9y = 3 + -3(-8 + -1y) Combine like terms: -3y + -9y = -12y 18 + -12y = 3 + -3(-8 + -1y) 18 + -12y = 3 + (-8 * -3 + -1y * -3) 18 + -12y = 3 + (24 + 3y) Combine like terms: 3 + 24 = 27 18 + -12y = 27 + 3y Solving 18 + -12y = 27 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 18 + -12y + -3y = 27 + 3y + -3y Combine like terms: -12y + -3y = -15y 18 + -15y = 27 + 3y + -3y Combine like terms: 3y + -3y = 0 18 + -15y = 27 + 0 18 + -15y = 27 Add '-18' to each side of the equation. 18 + -18 + -15y = 27 + -18 Combine like terms: 18 + -18 = 0 0 + -15y = 27 + -18 -15y = 27 + -18 Combine like terms: 27 + -18 = 9 -15y = 9 Divide each side by '-15'. y = -0.6 Simplifying y = -0.6
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