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Simplifying 7Y + -8 = 6Y + 1 Reorder the terms: -8 + 7Y = 6Y + 1 Reorder the terms: -8 + 7Y = 1 + 6Y Solving -8 + 7Y = 1 + 6Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-6Y' to each side of the equation. -8 + 7Y + -6Y = 1 + 6Y + -6Y Combine like terms: 7Y + -6Y = 1Y -8 + 1Y = 1 + 6Y + -6Y Combine like terms: 6Y + -6Y = 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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