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Simplifying 35 + 3y + -10 = 12y + -11 + -3y Reorder the terms: 35 + -10 + 3y = 12y + -11 + -3y Combine like terms: 35 + -10 = 25 25 + 3y = 12y + -11 + -3y Reorder the terms: 25 + 3y = -11 + 12y + -3y Combine like terms: 12y + -3y = 9y 25 + 3y = -11 + 9y Solving 25 + 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. 25 + 3y + -9y = -11 + 9y + -9y Combine like terms: 3y + -9y = -6y 25 + -6y = -11 + 9y + -9y Combine like terms: 9y + -9y = 0 25 + -6y = -11 + 0 25 + -6y = -11 Add '-25' to each side of the equation. 25 + -25 + -6y = -11 + -25 Combine like terms: 25 + -25 = 0 0 + -6y = -11 + -25 -6y = -11 + -25 Combine like terms: -11 + -25 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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