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Simplifying 41 + 3y + -10 = 12y + -11 + -3y Reorder the terms: 41 + -10 + 3y = 12y + -11 + -3y Combine like terms: 41 + -10 = 31 31 + 3y = 12y + -11 + -3y Reorder the terms: 31 + 3y = -11 + 12y + -3y Combine like terms: 12y + -3y = 9y 31 + 3y = -11 + 9y Solving 31 + 3y = -11 + 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. 31 + 3y + -9y = -11 + 9y + -9y Combine like terms: 3y + -9y = -6y 31 + -6y = -11 + 9y + -9y Combine like terms: 9y + -9y = 0 31 + -6y = -11 + 0 31 + -6y = -11 Add '-31' to each side of the equation. 31 + -31 + -6y = -11 + -31 Combine like terms: 31 + -31 = 0 0 + -6y = -11 + -31 -6y = -11 + -31 Combine like terms: -11 + -31 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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