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Simplifying 102 + -75 = 31y + -40y Combine like terms: 102 + -75 = 27 27 = 31y + -40y Combine like terms: 31y + -40y = -9y 27 = -9y Solving 27 = -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 27 + 9y = -9y + 9y Combine like terms: -9y + 9y = 0 27 + 9y = 0 Add '-27' to each side of the equation. 27 + -27 + 9y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 9y = 0 + -27 9y = 0 + -27 Combine like terms: 0 + -27 = -27 9y = -27 Divide each side by '9'. y = -3 Simplifying y = -3
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