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Simplifying (7Y + -7Y + 8) + -1(2Y + -7Y + 9) = 0 Reorder the terms: (8 + 7Y + -7Y) + -1(2Y + -7Y + 9) = 0 Combine like terms: 7Y + -7Y = 0 (8 + 0) + -1(2Y + -7Y + 9) = 0 (8) + -1(2Y + -7Y + 9) = 0 8 + -1(2Y + -7Y + 9) = 0 Reorder the terms: 8 + -1(9 + 2Y + -7Y) = 0 Combine like terms: 2Y + -7Y = -5Y 8 + -1(9 + -5Y) = 0 8 + (9 * -1 + -5Y * -1) = 0 8 + (-9 + 5Y) = 0 Combine like terms: 8 + -9 = -1 -1 + 5Y = 0 Solving -1 + 5Y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5Y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5Y = 0 + 1 5Y = 0 + 1 Combine like terms: 0 + 1 = 1 5Y = 1 Divide each side by '5'. Y = 0.2 Simplifying Y = 0.2
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