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Simplifying -4y + -9(-5y + -2) = 9 + -5(-1 + -1y) Reorder the terms: -4y + -9(-2 + -5y) = 9 + -5(-1 + -1y) -4y + (-2 * -9 + -5y * -9) = 9 + -5(-1 + -1y) -4y + (18 + 45y) = 9 + -5(-1 + -1y) Reorder the terms: 18 + -4y + 45y = 9 + -5(-1 + -1y) Combine like terms: -4y + 45y = 41y 18 + 41y = 9 + -5(-1 + -1y) 18 + 41y = 9 + (-1 * -5 + -1y * -5) 18 + 41y = 9 + (5 + 5y) Combine like terms: 9 + 5 = 14 18 + 41y = 14 + 5y Solving 18 + 41y = 14 + 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. 18 + 41y + -5y = 14 + 5y + -5y Combine like terms: 41y + -5y = 36y 18 + 36y = 14 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + 36y = 14 + 0 18 + 36y = 14 Add '-18' to each side of the equation. 18 + -18 + 36y = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 36y = 14 + -18 36y = 14 + -18 Combine like terms: 14 + -18 = -4 36y = -4 Divide each side by '36'. y = -0.1111111111 Simplifying y = -0.1111111111
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