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Simplifying 1 + 0.1(4 + -1y) = 1.6y + -8(y + -0.4) 1 + (4 * 0.1 + -1y * 0.1) = 1.6y + -8(y + -0.4) 1 + (0.4 + -0.1y) = 1.6y + -8(y + -0.4) Combine like terms: 1 + 0.4 = 1.4 1.4 + -0.1y = 1.6y + -8(y + -0.4) Reorder the terms: 1.4 + -0.1y = 1.6y + -8(-0.4 + y) 1.4 + -0.1y = 1.6y + (-0.4 * -8 + y * -8) 1.4 + -0.1y = 1.6y + (3.2 + -8y) Reorder the terms: 1.4 + -0.1y = 3.2 + 1.6y + -8y Combine like terms: 1.6y + -8y = -6.4y 1.4 + -0.1y = 3.2 + -6.4y Solving 1.4 + -0.1y = 3.2 + -6.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6.4y' to each side of the equation. 1.4 + -0.1y + 6.4y = 3.2 + -6.4y + 6.4y Combine like terms: -0.1y + 6.4y = 6.3y 1.4 + 6.3y = 3.2 + -6.4y + 6.4y Combine like terms: -6.4y + 6.4y = 0.0 1.4 + 6.3y = 3.2 + 0.0 1.4 + 6.3y = 3.2 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 6.3y = 3.2 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 6.3y = 3.2 + -1.4 6.3y = 3.2 + -1.4 Combine like terms: 3.2 + -1.4 = 1.8 6.3y = 1.8 Divide each side by '6.3'. y = 0.2857142857 Simplifying y = 0.2857142857
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