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Simplifying -6y + -9(-9y + 5) = 4 + 5(-3 + -1y) Reorder the terms: -6y + -9(5 + -9y) = 4 + 5(-3 + -1y) -6y + (5 * -9 + -9y * -9) = 4 + 5(-3 + -1y) -6y + (-45 + 81y) = 4 + 5(-3 + -1y) Reorder the terms: -45 + -6y + 81y = 4 + 5(-3 + -1y) Combine like terms: -6y + 81y = 75y -45 + 75y = 4 + 5(-3 + -1y) -45 + 75y = 4 + (-3 * 5 + -1y * 5) -45 + 75y = 4 + (-15 + -5y) Combine like terms: 4 + -15 = -11 -45 + 75y = -11 + -5y Solving -45 + 75y = -11 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -45 + 75y + 5y = -11 + -5y + 5y Combine like terms: 75y + 5y = 80y -45 + 80y = -11 + -5y + 5y Combine like terms: -5y + 5y = 0 -45 + 80y = -11 + 0 -45 + 80y = -11 Add '45' to each side of the equation. -45 + 45 + 80y = -11 + 45 Combine like terms: -45 + 45 = 0 0 + 80y = -11 + 45 80y = -11 + 45 Combine like terms: -11 + 45 = 34 80y = 34 Divide each side by '80'. y = 0.425 Simplifying y = 0.425
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