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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 = 180 -15y = 180 Divide each side by '-15'. y = -12 Simplifying y = -12
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