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Simplifying 32 + 3y + -9 = 12y + -13 + -3y Reorder the terms: 32 + -9 + 3y = 12y + -13 + -3y Combine like terms: 32 + -9 = 23 23 + 3y = 12y + -13 + -3y Reorder the terms: 23 + 3y = -13 + 12y + -3y Combine like terms: 12y + -3y = 9y 23 + 3y = -13 + 9y Solving 23 + 3y = -13 + 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. 23 + 3y + -9y = -13 + 9y + -9y Combine like terms: 3y + -9y = -6y 23 + -6y = -13 + 9y + -9y Combine like terms: 9y + -9y = 0 23 + -6y = -13 + 0 23 + -6y = -13 Add '-23' to each side of the equation. 23 + -23 + -6y = -13 + -23 Combine like terms: 23 + -23 = 0 0 + -6y = -13 + -23 -6y = -13 + -23 Combine like terms: -13 + -23 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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