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Simplifying 34 + 3y + -12 = 13y + -13 + -5y Reorder the terms: 34 + -12 + 3y = 13y + -13 + -5y Combine like terms: 34 + -12 = 22 22 + 3y = 13y + -13 + -5y Reorder the terms: 22 + 3y = -13 + 13y + -5y Combine like terms: 13y + -5y = 8y 22 + 3y = -13 + 8y Solving 22 + 3y = -13 + 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. 22 + 3y + -8y = -13 + 8y + -8y Combine like terms: 3y + -8y = -5y 22 + -5y = -13 + 8y + -8y Combine like terms: 8y + -8y = 0 22 + -5y = -13 + 0 22 + -5y = -13 Add '-22' to each side of the equation. 22 + -22 + -5y = -13 + -22 Combine like terms: 22 + -22 = 0 0 + -5y = -13 + -22 -5y = -13 + -22 Combine like terms: -13 + -22 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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