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Simplifying 5Y + -3 + Y + 53 = 8Y + 50 + -6Y Reorder the terms: -3 + 53 + 5Y + Y = 8Y + 50 + -6Y Combine like terms: -3 + 53 = 50 50 + 5Y + Y = 8Y + 50 + -6Y Combine like terms: 5Y + Y = 6Y 50 + 6Y = 8Y + 50 + -6Y Reorder the terms: 50 + 6Y = 50 + 8Y + -6Y Combine like terms: 8Y + -6Y = 2Y 50 + 6Y = 50 + 2Y Add '-50' to each side of the equation. 50 + -50 + 6Y = 50 + -50 + 2Y Combine like terms: 50 + -50 = 0 0 + 6Y = 50 + -50 + 2Y 6Y = 50 + -50 + 2Y Combine like terms: 50 + -50 = 0 6Y = 0 + 2Y 6Y = 2Y Solving 6Y = 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. 6Y + -2Y = 2Y + -2Y Combine like terms: 6Y + -2Y = 4Y 4Y = 2Y + -2Y Combine like terms: 2Y + -2Y = 0 4Y = 0 Divide each side by '4'. Y = 0 Simplifying Y = 0
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