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Simplifying -6Y + 2 = -7Y + 8 Reorder the terms: 2 + -6Y = -7Y + 8 Reorder the terms: 2 + -6Y = 8 + -7Y Solving 2 + -6Y = 8 + -7Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '7Y' to each side of the equation. 2 + -6Y + 7Y = 8 + -7Y + 7Y Combine like terms: -6Y + 7Y = 1Y 2 + 1Y = 8 + -7Y + 7Y Combine like terms: -7Y + 7Y = 0 2 + 1Y = 8 + 0 2 + 1Y = 8 Add '-2' to each side of the equation. 2 + -2 + 1Y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1Y = 8 + -2 1Y = 8 + -2 Combine like terms: 8 + -2 = 6 1Y = 6 Divide each side by '1'. Y = 6 Simplifying Y = 6
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