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Simplifying 3.5Y + 5 = 13.5Y + 14 Reorder the terms: 5 + 3.5Y = 13.5Y + 14 Reorder the terms: 5 + 3.5Y = 14 + 13.5Y Solving 5 + 3.5Y = 14 + 13.5Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-13.5Y' to each side of the equation. 5 + 3.5Y + -13.5Y = 14 + 13.5Y + -13.5Y Combine like terms: 3.5Y + -13.5Y = -10Y 5 + -10Y = 14 + 13.5Y + -13.5Y Combine like terms: 13.5Y + -13.5Y = 0.0 5 + -10Y = 14 + 0.0 5 + -10Y = 14 Add '-5' to each side of the equation. 5 + -5 + -10Y = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -10Y = 14 + -5 -10Y = 14 + -5 Combine like terms: 14 + -5 = 9 -10Y = 9 Divide each side by '-10'. Y = -0.9 Simplifying Y = -0.9
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