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Simplifying 5Y + 3.8 = 4Y + -1.7 Reorder the terms: 3.8 + 5Y = 4Y + -1.7 Reorder the terms: 3.8 + 5Y = -1.7 + 4Y Solving 3.8 + 5Y = -1.7 + 4Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4Y' to each side of the equation. 3.8 + 5Y + -4Y = -1.7 + 4Y + -4Y Combine like terms: 5Y + -4Y = 1Y 3.8 + 1Y = -1.7 + 4Y + -4Y Combine like terms: 4Y + -4Y = 0 3.8 + 1Y = -1.7 + 0 3.8 + 1Y = -1.7 Add '-3.8' to each side of the equation. 3.8 + -3.8 + 1Y = -1.7 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 1Y = -1.7 + -3.8 1Y = -1.7 + -3.8 Combine like terms: -1.7 + -3.8 = -5.5 1Y = -5.5 Divide each side by '1'. Y = -5.5 Simplifying Y = -5.5
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