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Simplifying 34 + 2y + -11 = 10y + -13 + -2y Reorder the terms: 34 + -11 + 2y = 10y + -13 + -2y Combine like terms: 34 + -11 = 23 23 + 2y = 10y + -13 + -2y Reorder the terms: 23 + 2y = -13 + 10y + -2y Combine like terms: 10y + -2y = 8y 23 + 2y = -13 + 8y Solving 23 + 2y = -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. 23 + 2y + -8y = -13 + 8y + -8y Combine like terms: 2y + -8y = -6y 23 + -6y = -13 + 8y + -8y Combine like terms: 8y + -8y = 0 23 + -6y = -13 + 0 23 + -6y = -13 Add '-23' to each side of the equation. 23 + -23 + -6y = -13 + -23 Combine like terms: 23 + -23 = 0 0 + -6y = -13 + -23 -6y = -13 + -23 Combine like terms: -13 + -23 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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