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Simplifying -39 + -5y + 19 = -28y + 100 + 13y Reorder the terms: -39 + 19 + -5y = -28y + 100 + 13y Combine like terms: -39 + 19 = -20 -20 + -5y = -28y + 100 + 13y Reorder the terms: -20 + -5y = 100 + -28y + 13y Combine like terms: -28y + 13y = -15y -20 + -5y = 100 + -15y Solving -20 + -5y = 100 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. -20 + -5y + 15y = 100 + -15y + 15y Combine like terms: -5y + 15y = 10y -20 + 10y = 100 + -15y + 15y Combine like terms: -15y + 15y = 0 -20 + 10y = 100 + 0 -20 + 10y = 100 Add '20' to each side of the equation. -20 + 20 + 10y = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 10y = 100 + 20 10y = 100 + 20 Combine like terms: 100 + 20 = 120 10y = 120 Divide each side by '10'. y = 12 Simplifying y = 12
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