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Simplifying 9(4Y + -7) + -1(6Y + 7) = Y Reorder the terms: 9(-7 + 4Y) + -1(6Y + 7) = Y (-7 * 9 + 4Y * 9) + -1(6Y + 7) = Y (-63 + 36Y) + -1(6Y + 7) = Y Reorder the terms: -63 + 36Y + -1(7 + 6Y) = Y -63 + 36Y + (7 * -1 + 6Y * -1) = Y -63 + 36Y + (-7 + -6Y) = Y Reorder the terms: -63 + -7 + 36Y + -6Y = Y Combine like terms: -63 + -7 = -70 -70 + 36Y + -6Y = Y Combine like terms: 36Y + -6Y = 30Y -70 + 30Y = Y Solving -70 + 30Y = Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1Y' to each side of the equation. -70 + 30Y + -1Y = Y + -1Y Combine like terms: 30Y + -1Y = 29Y -70 + 29Y = Y + -1Y Combine like terms: Y + -1Y = 0 -70 + 29Y = 0 Add '70' to each side of the equation. -70 + 70 + 29Y = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 29Y = 0 + 70 29Y = 0 + 70 Combine like terms: 0 + 70 = 70 29Y = 70 Divide each side by '29'. Y = 2.413793103 Simplifying Y = 2.413793103
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