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Simplifying 7 + 0.4(6 + -1y) = 1.8y + -9(y + -0.9) 7 + (6 * 0.4 + -1y * 0.4) = 1.8y + -9(y + -0.9) 7 + (2.4 + -0.4y) = 1.8y + -9(y + -0.9) Combine like terms: 7 + 2.4 = 9.4 9.4 + -0.4y = 1.8y + -9(y + -0.9) Reorder the terms: 9.4 + -0.4y = 1.8y + -9(-0.9 + y) 9.4 + -0.4y = 1.8y + (-0.9 * -9 + y * -9) 9.4 + -0.4y = 1.8y + (8.1 + -9y) Reorder the terms: 9.4 + -0.4y = 8.1 + 1.8y + -9y Combine like terms: 1.8y + -9y = -7.2y 9.4 + -0.4y = 8.1 + -7.2y Solving 9.4 + -0.4y = 8.1 + -7.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7.2y' to each side of the equation. 9.4 + -0.4y + 7.2y = 8.1 + -7.2y + 7.2y Combine like terms: -0.4y + 7.2y = 6.8y 9.4 + 6.8y = 8.1 + -7.2y + 7.2y Combine like terms: -7.2y + 7.2y = 0.0 9.4 + 6.8y = 8.1 + 0.0 9.4 + 6.8y = 8.1 Add '-9.4' to each side of the equation. 9.4 + -9.4 + 6.8y = 8.1 + -9.4 Combine like terms: 9.4 + -9.4 = 0.0 0.0 + 6.8y = 8.1 + -9.4 6.8y = 8.1 + -9.4 Combine like terms: 8.1 + -9.4 = -1.3 6.8y = -1.3 Divide each side by '6.8'. y = -0.1911764706 Simplifying y = -0.1911764706
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