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Simplifying -6Y + 9(-6Y + 6) = 7 + 9(5 + -1Y) Reorder the terms: -6Y + 9(6 + -6Y) = 7 + 9(5 + -1Y) -6Y + (6 * 9 + -6Y * 9) = 7 + 9(5 + -1Y) -6Y + (54 + -54Y) = 7 + 9(5 + -1Y) Reorder the terms: 54 + -6Y + -54Y = 7 + 9(5 + -1Y) Combine like terms: -6Y + -54Y = -60Y 54 + -60Y = 7 + 9(5 + -1Y) 54 + -60Y = 7 + (5 * 9 + -1Y * 9) 54 + -60Y = 7 + (45 + -9Y) Combine like terms: 7 + 45 = 52 54 + -60Y = 52 + -9Y Solving 54 + -60Y = 52 + -9Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '9Y' to each side of the equation. 54 + -60Y + 9Y = 52 + -9Y + 9Y Combine like terms: -60Y + 9Y = -51Y 54 + -51Y = 52 + -9Y + 9Y Combine like terms: -9Y + 9Y = 0 54 + -51Y = 52 + 0 54 + -51Y = 52 Add '-54' to each side of the equation. 54 + -54 + -51Y = 52 + -54 Combine like terms: 54 + -54 = 0 0 + -51Y = 52 + -54 -51Y = 52 + -54 Combine like terms: 52 + -54 = -2 -51Y = -2 Divide each side by '-51'. Y = 0.03921568627 Simplifying Y = 0.03921568627
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