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Simplifying 4y + -31 = 3y + 9 Reorder the terms: -31 + 4y = 3y + 9 Reorder the terms: -31 + 4y = 9 + 3y Solving -31 + 4y = 9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -31 + 4y + -3y = 9 + 3y + -3y Combine like terms: 4y + -3y = 1y -31 + 1y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 -31 + 1y = 9 + 0 -31 + 1y = 9 Add '31' to each side of the equation. -31 + 31 + 1y = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 1y = 9 + 31 1y = 9 + 31 Combine like terms: 9 + 31 = 40 1y = 40 Divide each side by '1'. y = 40 Simplifying y = 40
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