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Simplifying 12[3 + y] = 5[2y + 8] [3 * 12 + y * 12] = 5[2y + 8] [36 + 12y] = 5[2y + 8] Reorder the terms: 36 + 12y = 5[8 + 2y] 36 + 12y = [8 * 5 + 2y * 5] 36 + 12y = [40 + 10y] Solving 36 + 12y = 40 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 36 + 12y + -10y = 40 + 10y + -10y Combine like terms: 12y + -10y = 2y 36 + 2y = 40 + 10y + -10y Combine like terms: 10y + -10y = 0 36 + 2y = 40 + 0 36 + 2y = 40 Add '-36' to each side of the equation. 36 + -36 + 2y = 40 + -36 Combine like terms: 36 + -36 = 0 0 + 2y = 40 + -36 2y = 40 + -36 Combine like terms: 40 + -36 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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