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Simplifying -1(-9y + 30) = -1(1 + 5y) + -5Y Reorder the terms: -1(30 + -9y) = -1(1 + 5y) + -5Y (30 * -1 + -9y * -1) = -1(1 + 5y) + -5Y (-30 + 9y) = -1(1 + 5y) + -5Y -30 + 9y = (1 * -1 + 5y * -1) + -5Y -30 + 9y = (-1 + -5y) + -5Y Reorder the terms: -30 + 9y = -1 + -5Y + -5y Solving -30 + 9y = -1 + -5Y + -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. -30 + 9y + 5y = -1 + -5Y + -5y + 5y Combine like terms: 9y + 5y = 14y -30 + 14y = -1 + -5Y + -5y + 5y Combine like terms: -5y + 5y = 0 -30 + 14y = -1 + -5Y + 0 -30 + 14y = -1 + -5Y Add '30' to each side of the equation. -30 + 30 + 14y = -1 + 30 + -5Y Combine like terms: -30 + 30 = 0 0 + 14y = -1 + 30 + -5Y 14y = -1 + 30 + -5Y Combine like terms: -1 + 30 = 29 14y = 29 + -5Y Divide each side by '14'. y = 2.071428571 + -0.3571428571Y Simplifying y = 2.071428571 + -0.3571428571Y
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