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Simplifying 2Y + -9 = 11Y + 18 Reorder the terms: -9 + 2Y = 11Y + 18 Reorder the terms: -9 + 2Y = 18 + 11Y Solving -9 + 2Y = 18 + 11Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-11Y' to each side of the equation. -9 + 2Y + -11Y = 18 + 11Y + -11Y Combine like terms: 2Y + -11Y = -9Y -9 + -9Y = 18 + 11Y + -11Y Combine like terms: 11Y + -11Y = 0 -9 + -9Y = 18 + 0 -9 + -9Y = 18 Add '9' to each side of the equation. -9 + 9 + -9Y = 18 + 9 Combine like terms: -9 + 9 = 0 0 + -9Y = 18 + 9 -9Y = 18 + 9 Combine like terms: 18 + 9 = 27 -9Y = 27 Divide each side by '-9'. Y = -3 Simplifying Y = -3
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