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Simplifying 0.10(y + -6) + 0.47y = 0.07y + -0.40 Reorder the terms: 0.10(-6 + y) + 0.47y = 0.07y + -0.40 (-6 * 0.10 + y * 0.10) + 0.47y = 0.07y + -0.40 (-0.6 + 0.10y) + 0.47y = 0.07y + -0.40 Combine like terms: 0.10y + 0.47y = 0.57y -0.6 + 0.57y = 0.07y + -0.40 Reorder the terms: -0.6 + 0.57y = -0.40 + 0.07y Solving -0.6 + 0.57y = -0.40 + 0.07y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.07y' to each side of the equation. -0.6 + 0.57y + -0.07y = -0.40 + 0.07y + -0.07y Combine like terms: 0.57y + -0.07y = 0.5y -0.6 + 0.5y = -0.40 + 0.07y + -0.07y Combine like terms: 0.07y + -0.07y = 0.00 -0.6 + 0.5y = -0.40 + 0.00 -0.6 + 0.5y = -0.40 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.5y = -0.40 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.5y = -0.40 + 0.6 0.5y = -0.40 + 0.6 Combine like terms: -0.40 + 0.6 = 0.2 0.5y = 0.2 Divide each side by '0.5'. y = 0.4 Simplifying y = 0.4
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