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Simplifying 5Y + 6Y + 81 = 7Y + 102 + 65Y Reorder the terms: 81 + 5Y + 6Y = 7Y + 102 + 65Y Combine like terms: 5Y + 6Y = 11Y 81 + 11Y = 7Y + 102 + 65Y Reorder the terms: 81 + 11Y = 102 + 7Y + 65Y Combine like terms: 7Y + 65Y = 72Y 81 + 11Y = 102 + 72Y Solving 81 + 11Y = 102 + 72Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-72Y' to each side of the equation. 81 + 11Y + -72Y = 102 + 72Y + -72Y Combine like terms: 11Y + -72Y = -61Y 81 + -61Y = 102 + 72Y + -72Y Combine like terms: 72Y + -72Y = 0 81 + -61Y = 102 + 0 81 + -61Y = 102 Add '-81' to each side of the equation. 81 + -81 + -61Y = 102 + -81 Combine like terms: 81 + -81 = 0 0 + -61Y = 102 + -81 -61Y = 102 + -81 Combine like terms: 102 + -81 = 21 -61Y = 21 Divide each side by '-61'. Y = -0.3442622951 Simplifying Y = -0.3442622951
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