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Simplifying 12y + 4 = 3y + 31 Reorder the terms: 4 + 12y = 3y + 31 Reorder the terms: 4 + 12y = 31 + 3y Solving 4 + 12y = 31 + 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. 4 + 12y + -3y = 31 + 3y + -3y Combine like terms: 12y + -3y = 9y 4 + 9y = 31 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + 9y = 31 + 0 4 + 9y = 31 Add '-4' to each side of the equation. 4 + -4 + 9y = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 9y = 31 + -4 9y = 31 + -4 Combine like terms: 31 + -4 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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