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Simplifying 3 + -2(1 + -3y) = 5(2 + -1y) + -31 3 + (1 * -2 + -3y * -2) = 5(2 + -1y) + -31 3 + (-2 + 6y) = 5(2 + -1y) + -31 Combine like terms: 3 + -2 = 1 1 + 6y = 5(2 + -1y) + -31 1 + 6y = (2 * 5 + -1y * 5) + -31 1 + 6y = (10 + -5y) + -31 Reorder the terms: 1 + 6y = 10 + -31 + -5y Combine like terms: 10 + -31 = -21 1 + 6y = -21 + -5y Solving 1 + 6y = -21 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 1 + 6y + 5y = -21 + -5y + 5y Combine like terms: 6y + 5y = 11y 1 + 11y = -21 + -5y + 5y Combine like terms: -5y + 5y = 0 1 + 11y = -21 + 0 1 + 11y = -21 Add '-1' to each side of the equation. 1 + -1 + 11y = -21 + -1 Combine like terms: 1 + -1 = 0 0 + 11y = -21 + -1 11y = -21 + -1 Combine like terms: -21 + -1 = -22 11y = -22 Divide each side by '11'. y = -2 Simplifying y = -2
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