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Simplifying 9y + 31 = 2(y + -2) Reorder the terms: 31 + 9y = 2(y + -2) Reorder the terms: 31 + 9y = 2(-2 + y) 31 + 9y = (-2 * 2 + y * 2) 31 + 9y = (-4 + 2y) Solving 31 + 9y = -4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 31 + 9y + -2y = -4 + 2y + -2y Combine like terms: 9y + -2y = 7y 31 + 7y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 31 + 7y = -4 + 0 31 + 7y = -4 Add '-31' to each side of the equation. 31 + -31 + 7y = -4 + -31 Combine like terms: 31 + -31 = 0 0 + 7y = -4 + -31 7y = -4 + -31 Combine like terms: -4 + -31 = -35 7y = -35 Divide each side by '7'. y = -5 Simplifying y = -5
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