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Simplifying 29 + 4y + -6 = 15y + -9 + -3y Reorder the terms: 29 + -6 + 4y = 15y + -9 + -3y Combine like terms: 29 + -6 = 23 23 + 4y = 15y + -9 + -3y Reorder the terms: 23 + 4y = -9 + 15y + -3y Combine like terms: 15y + -3y = 12y 23 + 4y = -9 + 12y Solving 23 + 4y = -9 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 23 + 4y + -12y = -9 + 12y + -12y Combine like terms: 4y + -12y = -8y 23 + -8y = -9 + 12y + -12y Combine like terms: 12y + -12y = 0 23 + -8y = -9 + 0 23 + -8y = -9 Add '-23' to each side of the equation. 23 + -23 + -8y = -9 + -23 Combine like terms: 23 + -23 = 0 0 + -8y = -9 + -23 -8y = -9 + -23 Combine like terms: -9 + -23 = -32 -8y = -32 Divide each side by '-8'. y = 4 Simplifying y = 4
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