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Simplifying 8(y + -2) = 5y + -31 Reorder the terms: 8(-2 + y) = 5y + -31 (-2 * 8 + y * 8) = 5y + -31 (-16 + 8y) = 5y + -31 Reorder the terms: -16 + 8y = -31 + 5y Solving -16 + 8y = -31 + 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. -16 + 8y + -5y = -31 + 5y + -5y Combine like terms: 8y + -5y = 3y -16 + 3y = -31 + 5y + -5y Combine like terms: 5y + -5y = 0 -16 + 3y = -31 + 0 -16 + 3y = -31 Add '16' to each side of the equation. -16 + 16 + 3y = -31 + 16 Combine like terms: -16 + 16 = 0 0 + 3y = -31 + 16 3y = -31 + 16 Combine like terms: -31 + 16 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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