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Simplifying 5Y + 6Y + -31 = 7X + 102 + 65Y Reorder the terms: -31 + 5Y + 6Y = 7X + 102 + 65Y Combine like terms: 5Y + 6Y = 11Y -31 + 11Y = 7X + 102 + 65Y Reorder the terms: -31 + 11Y = 102 + 7X + 65Y Solving -31 + 11Y = 102 + 7X + 65Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-65Y' to each side of the equation. -31 + 11Y + -65Y = 102 + 7X + 65Y + -65Y Combine like terms: 11Y + -65Y = -54Y -31 + -54Y = 102 + 7X + 65Y + -65Y Combine like terms: 65Y + -65Y = 0 -31 + -54Y = 102 + 7X + 0 -31 + -54Y = 102 + 7X Add '31' to each side of the equation. -31 + 31 + -54Y = 102 + 31 + 7X Combine like terms: -31 + 31 = 0 0 + -54Y = 102 + 31 + 7X -54Y = 102 + 31 + 7X Combine like terms: 102 + 31 = 133 -54Y = 133 + 7X Divide each side by '-54'. Y = -2.462962963 + -0.1296296296X Simplifying Y = -2.462962963 + -0.1296296296X
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