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Simplifying 4(3 + -1y) + 8 = 12(3 + -1y) (3 * 4 + -1y * 4) + 8 = 12(3 + -1y) (12 + -4y) + 8 = 12(3 + -1y) Reorder the terms: 12 + 8 + -4y = 12(3 + -1y) Combine like terms: 12 + 8 = 20 20 + -4y = 12(3 + -1y) 20 + -4y = (3 * 12 + -1y * 12) 20 + -4y = (36 + -12y) Solving 20 + -4y = 36 + -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. 20 + -4y + 12y = 36 + -12y + 12y Combine like terms: -4y + 12y = 8y 20 + 8y = 36 + -12y + 12y Combine like terms: -12y + 12y = 0 20 + 8y = 36 + 0 20 + 8y = 36 Add '-20' to each side of the equation. 20 + -20 + 8y = 36 + -20 Combine like terms: 20 + -20 = 0 0 + 8y = 36 + -20 8y = 36 + -20 Combine like terms: 36 + -20 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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