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Simplifying -34 + -8y + 14 = -28y + 10 + 14y Reorder the terms: -34 + 14 + -8y = -28y + 10 + 14y Combine like terms: -34 + 14 = -20 -20 + -8y = -28y + 10 + 14y Reorder the terms: -20 + -8y = 10 + -28y + 14y Combine like terms: -28y + 14y = -14y -20 + -8y = 10 + -14y Solving -20 + -8y = 10 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. -20 + -8y + 14y = 10 + -14y + 14y Combine like terms: -8y + 14y = 6y -20 + 6y = 10 + -14y + 14y Combine like terms: -14y + 14y = 0 -20 + 6y = 10 + 0 -20 + 6y = 10 Add '20' to each side of the equation. -20 + 20 + 6y = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 6y = 10 + 20 6y = 10 + 20 Combine like terms: 10 + 20 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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