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Simplifying 12(5 + y) = 4y + -1(6 + -9y) (5 * 12 + y * 12) = 4y + -1(6 + -9y) (60 + 12y) = 4y + -1(6 + -9y) 60 + 12y = 4y + (6 * -1 + -9y * -1) 60 + 12y = 4y + (-6 + 9y) Reorder the terms: 60 + 12y = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 60 + 12y = -6 + 13y Solving 60 + 12y = -6 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 60 + 12y + -13y = -6 + 13y + -13y Combine like terms: 12y + -13y = -1y 60 + -1y = -6 + 13y + -13y Combine like terms: 13y + -13y = 0 60 + -1y = -6 + 0 60 + -1y = -6 Add '-60' to each side of the equation. 60 + -60 + -1y = -6 + -60 Combine like terms: 60 + -60 = 0 0 + -1y = -6 + -60 -1y = -6 + -60 Combine like terms: -6 + -60 = -66 -1y = -66 Divide each side by '-1'. y = 66 Simplifying y = 66
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