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Simplifying (Y + -5) + -1(Y + 9) = 2Y Reorder the terms: (-5 + Y) + -1(Y + 9) = 2Y Remove parenthesis around (-5 + Y) -5 + Y + -1(Y + 9) = 2Y Reorder the terms: -5 + Y + -1(9 + Y) = 2Y -5 + Y + (9 * -1 + Y * -1) = 2Y -5 + Y + (-9 + -1Y) = 2Y Reorder the terms: -5 + -9 + Y + -1Y = 2Y Combine like terms: -5 + -9 = -14 -14 + Y + -1Y = 2Y Combine like terms: Y + -1Y = 0 -14 + 0 = 2Y -14 = 2Y Solving -14 = 2Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2Y' to each side of the equation. -14 + -2Y = 2Y + -2Y Combine like terms: 2Y + -2Y = 0 -14 + -2Y = 0 Add '14' to each side of the equation. -14 + 14 + -2Y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -2Y = 0 + 14 -2Y = 0 + 14 Combine like terms: 0 + 14 = 14 -2Y = 14 Divide each side by '-2'. Y = -7 Simplifying Y = -7
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