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Simplifying 12(5 + 2y) = 4y + -1(6 + -8y) (5 * 12 + 2y * 12) = 4y + -1(6 + -8y) (60 + 24y) = 4y + -1(6 + -8y) 60 + 24y = 4y + (6 * -1 + -8y * -1) 60 + 24y = 4y + (-6 + 8y) Reorder the terms: 60 + 24y = -6 + 4y + 8y Combine like terms: 4y + 8y = 12y 60 + 24y = -6 + 12y Solving 60 + 24y = -6 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 60 + 24y + -12y = -6 + 12y + -12y Combine like terms: 24y + -12y = 12y 60 + 12y = -6 + 12y + -12y Combine like terms: 12y + -12y = 0 60 + 12y = -6 + 0 60 + 12y = -6 Add '-60' to each side of the equation. 60 + -60 + 12y = -6 + -60 Combine like terms: 60 + -60 = 0 0 + 12y = -6 + -60 12y = -6 + -60 Combine like terms: -6 + -60 = -66 12y = -66 Divide each side by '12'. y = -5.5 Simplifying y = -5.5
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