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Simplifying 5y + 3 + -8y = -1y + 31 + 2y Reorder the terms: 3 + 5y + -8y = -1y + 31 + 2y Combine like terms: 5y + -8y = -3y 3 + -3y = -1y + 31 + 2y Reorder the terms: 3 + -3y = 31 + -1y + 2y Combine like terms: -1y + 2y = 1y 3 + -3y = 31 + 1y Solving 3 + -3y = 31 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 3 + -3y + -1y = 31 + 1y + -1y Combine like terms: -3y + -1y = -4y 3 + -4y = 31 + 1y + -1y Combine like terms: 1y + -1y = 0 3 + -4y = 31 + 0 3 + -4y = 31 Add '-3' to each side of the equation. 3 + -3 + -4y = 31 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 31 + -3 -4y = 31 + -3 Combine like terms: 31 + -3 = 28 -4y = 28 Divide each side by '-4'. y = -7 Simplifying y = -7
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