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Simplifying 29 + 3y + -6 = 12y + -12 + -4y Reorder the terms: 29 + -6 + 3y = 12y + -12 + -4y Combine like terms: 29 + -6 = 23 23 + 3y = 12y + -12 + -4y Reorder the terms: 23 + 3y = -12 + 12y + -4y Combine like terms: 12y + -4y = 8y 23 + 3y = -12 + 8y Solving 23 + 3y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 23 + 3y + -8y = -12 + 8y + -8y Combine like terms: 3y + -8y = -5y 23 + -5y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 23 + -5y = -12 + 0 23 + -5y = -12 Add '-23' to each side of the equation. 23 + -23 + -5y = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -5y = -12 + -23 -5y = -12 + -23 Combine like terms: -12 + -23 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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