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Simplifying y + 0.4 = 0.8(y + -2) Reorder the terms: 0.4 + y = 0.8(y + -2) Reorder the terms: 0.4 + y = 0.8(-2 + y) 0.4 + y = (-2 * 0.8 + y * 0.8) 0.4 + y = (-1.6 + 0.8y) Solving 0.4 + y = -1.6 + 0.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8y' to each side of the equation. 0.4 + y + -0.8y = -1.6 + 0.8y + -0.8y Combine like terms: y + -0.8y = 0.2y 0.4 + 0.2y = -1.6 + 0.8y + -0.8y Combine like terms: 0.8y + -0.8y = 0.0 0.4 + 0.2y = -1.6 + 0.0 0.4 + 0.2y = -1.6 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.2y = -1.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.2y = -1.6 + -0.4 0.2y = -1.6 + -0.4 Combine like terms: -1.6 + -0.4 = -2 0.2y = -2 Divide each side by '0.2'. y = -10 Simplifying y = -10
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