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Simplifying 8y + -20 + 10y = 40 + -13y + 2 Reorder the terms: -20 + 8y + 10y = 40 + -13y + 2 Combine like terms: 8y + 10y = 18y -20 + 18y = 40 + -13y + 2 Reorder the terms: -20 + 18y = 40 + 2 + -13y Combine like terms: 40 + 2 = 42 -20 + 18y = 42 + -13y Solving -20 + 18y = 42 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. -20 + 18y + 13y = 42 + -13y + 13y Combine like terms: 18y + 13y = 31y -20 + 31y = 42 + -13y + 13y Combine like terms: -13y + 13y = 0 -20 + 31y = 42 + 0 -20 + 31y = 42 Add '20' to each side of the equation. -20 + 20 + 31y = 42 + 20 Combine like terms: -20 + 20 = 0 0 + 31y = 42 + 20 31y = 42 + 20 Combine like terms: 42 + 20 = 62 31y = 62 Divide each side by '31'. y = 2 Simplifying y = 2
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