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Simplifying 12y + 21 = 9y + 46 Reorder the terms: 21 + 12y = 9y + 46 Reorder the terms: 21 + 12y = 46 + 9y Solving 21 + 12y = 46 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 21 + 12y + -9y = 46 + 9y + -9y Combine like terms: 12y + -9y = 3y 21 + 3y = 46 + 9y + -9y Combine like terms: 9y + -9y = 0 21 + 3y = 46 + 0 21 + 3y = 46 Add '-21' to each side of the equation. 21 + -21 + 3y = 46 + -21 Combine like terms: 21 + -21 = 0 0 + 3y = 46 + -21 3y = 46 + -21 Combine like terms: 46 + -21 = 25 3y = 25 Divide each side by '3'. y = 8.333333333 Simplifying y = 8.333333333
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