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Simplifying 8 + 0.5(5 + -1y) = 0.8y + -9(y + -0.7) 8 + (5 * 0.5 + -1y * 0.5) = 0.8y + -9(y + -0.7) 8 + (2.5 + -0.5y) = 0.8y + -9(y + -0.7) Combine like terms: 8 + 2.5 = 10.5 10.5 + -0.5y = 0.8y + -9(y + -0.7) Reorder the terms: 10.5 + -0.5y = 0.8y + -9(-0.7 + y) 10.5 + -0.5y = 0.8y + (-0.7 * -9 + y * -9) 10.5 + -0.5y = 0.8y + (6.3 + -9y) Reorder the terms: 10.5 + -0.5y = 6.3 + 0.8y + -9y Combine like terms: 0.8y + -9y = -8.2y 10.5 + -0.5y = 6.3 + -8.2y Solving 10.5 + -0.5y = 6.3 + -8.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8.2y' to each side of the equation. 10.5 + -0.5y + 8.2y = 6.3 + -8.2y + 8.2y Combine like terms: -0.5y + 8.2y = 7.7y 10.5 + 7.7y = 6.3 + -8.2y + 8.2y Combine like terms: -8.2y + 8.2y = 0.0 10.5 + 7.7y = 6.3 + 0.0 10.5 + 7.7y = 6.3 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 7.7y = 6.3 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 7.7y = 6.3 + -10.5 7.7y = 6.3 + -10.5 Combine like terms: 6.3 + -10.5 = -4.2 7.7y = -4.2 Divide each side by '7.7'. y = -0.5454545455 Simplifying y = -0.5454545455
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