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Simplifying 5[3y + 12] = 6[5y + 20] Reorder the terms: 5[12 + 3y] = 6[5y + 20] [12 * 5 + 3y * 5] = 6[5y + 20] [60 + 15y] = 6[5y + 20] Reorder the terms: 60 + 15y = 6[20 + 5y] 60 + 15y = [20 * 6 + 5y * 6] 60 + 15y = [120 + 30y] Solving 60 + 15y = 120 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. 60 + 15y + -30y = 120 + 30y + -30y Combine like terms: 15y + -30y = -15y 60 + -15y = 120 + 30y + -30y Combine like terms: 30y + -30y = 0 60 + -15y = 120 + 0 60 + -15y = 120 Add '-60' to each side of the equation. 60 + -60 + -15y = 120 + -60 Combine like terms: 60 + -60 = 0 0 + -15y = 120 + -60 -15y = 120 + -60 Combine like terms: 120 + -60 = 60 -15y = 60 Divide each side by '-15'. y = -4 Simplifying y = -4
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