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Simplifying 29 + 3y + -12 = 13y + -11 + -3y Reorder the terms: 29 + -12 + 3y = 13y + -11 + -3y Combine like terms: 29 + -12 = 17 17 + 3y = 13y + -11 + -3y Reorder the terms: 17 + 3y = -11 + 13y + -3y Combine like terms: 13y + -3y = 10y 17 + 3y = -11 + 10y Solving 17 + 3y = -11 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 17 + 3y + -10y = -11 + 10y + -10y Combine like terms: 3y + -10y = -7y 17 + -7y = -11 + 10y + -10y Combine like terms: 10y + -10y = 0 17 + -7y = -11 + 0 17 + -7y = -11 Add '-17' to each side of the equation. 17 + -17 + -7y = -11 + -17 Combine like terms: 17 + -17 = 0 0 + -7y = -11 + -17 -7y = -11 + -17 Combine like terms: -11 + -17 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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