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Simplifying 5Y + -3 + Y + 14 = 6 + 8Y + 14 + -5Y Reorder the terms: -3 + 14 + 5Y + Y = 6 + 8Y + 14 + -5Y Combine like terms: -3 + 14 = 11 11 + 5Y + Y = 6 + 8Y + 14 + -5Y Combine like terms: 5Y + Y = 6Y 11 + 6Y = 6 + 8Y + 14 + -5Y Reorder the terms: 11 + 6Y = 6 + 14 + 8Y + -5Y Combine like terms: 6 + 14 = 20 11 + 6Y = 20 + 8Y + -5Y Combine like terms: 8Y + -5Y = 3Y 11 + 6Y = 20 + 3Y Solving 11 + 6Y = 20 + 3Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-3Y' to each side of the equation. 11 + 6Y + -3Y = 20 + 3Y + -3Y Combine like terms: 6Y + -3Y = 3Y 11 + 3Y = 20 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 11 + 3Y = 20 + 0 11 + 3Y = 20 Add '-11' to each side of the equation. 11 + -11 + 3Y = 20 + -11 Combine like terms: 11 + -11 = 0 0 + 3Y = 20 + -11 3Y = 20 + -11 Combine like terms: 20 + -11 = 9 3Y = 9 Divide each side by '3'. Y = 3 Simplifying Y = 3
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