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Simplifying -5y + 4(9y + 5) = -9 + 4(9 + -1y) Reorder the terms: -5y + 4(5 + 9y) = -9 + 4(9 + -1y) -5y + (5 * 4 + 9y * 4) = -9 + 4(9 + -1y) -5y + (20 + 36y) = -9 + 4(9 + -1y) Reorder the terms: 20 + -5y + 36y = -9 + 4(9 + -1y) Combine like terms: -5y + 36y = 31y 20 + 31y = -9 + 4(9 + -1y) 20 + 31y = -9 + (9 * 4 + -1y * 4) 20 + 31y = -9 + (36 + -4y) Combine like terms: -9 + 36 = 27 20 + 31y = 27 + -4y Solving 20 + 31y = 27 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 20 + 31y + 4y = 27 + -4y + 4y Combine like terms: 31y + 4y = 35y 20 + 35y = 27 + -4y + 4y Combine like terms: -4y + 4y = 0 20 + 35y = 27 + 0 20 + 35y = 27 Add '-20' to each side of the equation. 20 + -20 + 35y = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 35y = 27 + -20 35y = 27 + -20 Combine like terms: 27 + -20 = 7 35y = 7 Divide each side by '35'. y = 0.2 Simplifying y = 0.2
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