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Simplifying 4Y + -4 + Y + 18 = 8Y + 20 + -6Y Reorder the terms: -4 + 18 + 4Y + Y = 8Y + 20 + -6Y Combine like terms: -4 + 18 = 14 14 + 4Y + Y = 8Y + 20 + -6Y Combine like terms: 4Y + Y = 5Y 14 + 5Y = 8Y + 20 + -6Y Reorder the terms: 14 + 5Y = 20 + 8Y + -6Y Combine like terms: 8Y + -6Y = 2Y 14 + 5Y = 20 + 2Y Solving 14 + 5Y = 20 + 2Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2Y' to each side of the equation. 14 + 5Y + -2Y = 20 + 2Y + -2Y Combine like terms: 5Y + -2Y = 3Y 14 + 3Y = 20 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 14 + 3Y = 20 + 0 14 + 3Y = 20 Add '-14' to each side of the equation. 14 + -14 + 3Y = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 3Y = 20 + -14 3Y = 20 + -14 Combine like terms: 20 + -14 = 6 3Y = 6 Divide each side by '3'. Y = 2 Simplifying Y = 2
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