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Simplifying -3y + 9(-9y + -4) = -1 + 5(-5 + -1y) Reorder the terms: -3y + 9(-4 + -9y) = -1 + 5(-5 + -1y) -3y + (-4 * 9 + -9y * 9) = -1 + 5(-5 + -1y) -3y + (-36 + -81y) = -1 + 5(-5 + -1y) Reorder the terms: -36 + -3y + -81y = -1 + 5(-5 + -1y) Combine like terms: -3y + -81y = -84y -36 + -84y = -1 + 5(-5 + -1y) -36 + -84y = -1 + (-5 * 5 + -1y * 5) -36 + -84y = -1 + (-25 + -5y) Combine like terms: -1 + -25 = -26 -36 + -84y = -26 + -5y Solving -36 + -84y = -26 + -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. -36 + -84y + 5y = -26 + -5y + 5y Combine like terms: -84y + 5y = -79y -36 + -79y = -26 + -5y + 5y Combine like terms: -5y + 5y = 0 -36 + -79y = -26 + 0 -36 + -79y = -26 Add '36' to each side of the equation. -36 + 36 + -79y = -26 + 36 Combine like terms: -36 + 36 = 0 0 + -79y = -26 + 36 -79y = -26 + 36 Combine like terms: -26 + 36 = 10 -79y = 10 Divide each side by '-79'. y = -0.1265822785 Simplifying y = -0.1265822785
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