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Simplifying 34 + 2y + -13 = 11y + -14 + -4y Reorder the terms: 34 + -13 + 2y = 11y + -14 + -4y Combine like terms: 34 + -13 = 21 21 + 2y = 11y + -14 + -4y Reorder the terms: 21 + 2y = -14 + 11y + -4y Combine like terms: 11y + -4y = 7y 21 + 2y = -14 + 7y Solving 21 + 2y = -14 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 21 + 2y + -7y = -14 + 7y + -7y Combine like terms: 2y + -7y = -5y 21 + -5y = -14 + 7y + -7y Combine like terms: 7y + -7y = 0 21 + -5y = -14 + 0 21 + -5y = -14 Add '-21' to each side of the equation. 21 + -21 + -5y = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -5y = -14 + -21 -5y = -14 + -21 Combine like terms: -14 + -21 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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