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Simplifying 4(10 + -1y) + 9 = -9(y + -3) + -3 (10 * 4 + -1y * 4) + 9 = -9(y + -3) + -3 (40 + -4y) + 9 = -9(y + -3) + -3 Reorder the terms: 40 + 9 + -4y = -9(y + -3) + -3 Combine like terms: 40 + 9 = 49 49 + -4y = -9(y + -3) + -3 Reorder the terms: 49 + -4y = -9(-3 + y) + -3 49 + -4y = (-3 * -9 + y * -9) + -3 49 + -4y = (27 + -9y) + -3 Reorder the terms: 49 + -4y = 27 + -3 + -9y Combine like terms: 27 + -3 = 24 49 + -4y = 24 + -9y Solving 49 + -4y = 24 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 49 + -4y + 9y = 24 + -9y + 9y Combine like terms: -4y + 9y = 5y 49 + 5y = 24 + -9y + 9y Combine like terms: -9y + 9y = 0 49 + 5y = 24 + 0 49 + 5y = 24 Add '-49' to each side of the equation. 49 + -49 + 5y = 24 + -49 Combine like terms: 49 + -49 = 0 0 + 5y = 24 + -49 5y = 24 + -49 Combine like terms: 24 + -49 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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