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Simplifying 31 + 3y + -10 = 12y + -9 + -3y Reorder the terms: 31 + -10 + 3y = 12y + -9 + -3y Combine like terms: 31 + -10 = 21 21 + 3y = 12y + -9 + -3y Reorder the terms: 21 + 3y = -9 + 12y + -3y Combine like terms: 12y + -3y = 9y 21 + 3y = -9 + 9y Solving 21 + 3y = -9 + 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 + 3y + -9y = -9 + 9y + -9y Combine like terms: 3y + -9y = -6y 21 + -6y = -9 + 9y + -9y Combine like terms: 9y + -9y = 0 21 + -6y = -9 + 0 21 + -6y = -9 Add '-21' to each side of the equation. 21 + -21 + -6y = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -6y = -9 + -21 -6y = -9 + -21 Combine like terms: -9 + -21 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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