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Simplifying 6Y + -8 = 5Y + 1 Reorder the terms: -8 + 6Y = 5Y + 1 Reorder the terms: -8 + 6Y = 1 + 5Y Solving -8 + 6Y = 1 + 5Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-5Y' to each side of the equation. -8 + 6Y + -5Y = 1 + 5Y + -5Y Combine like terms: 6Y + -5Y = 1Y -8 + 1Y = 1 + 5Y + -5Y Combine like terms: 5Y + -5Y = 0 -8 + 1Y = 1 + 0 -8 + 1Y = 1 Add '8' to each side of the equation. -8 + 8 + 1Y = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 1Y = 1 + 8 1Y = 1 + 8 Combine like terms: 1 + 8 = 9 1Y = 9 Divide each side by '1'. Y = 9 Simplifying Y = 9
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