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Simplifying 0.13(y + -4) + 0.20y = 0.03y + -0.40 Reorder the terms: 0.13(-4 + y) + 0.20y = 0.03y + -0.40 (-4 * 0.13 + y * 0.13) + 0.20y = 0.03y + -0.40 (-0.52 + 0.13y) + 0.20y = 0.03y + -0.40 Combine like terms: 0.13y + 0.20y = 0.33y -0.52 + 0.33y = 0.03y + -0.40 Reorder the terms: -0.52 + 0.33y = -0.40 + 0.03y Solving -0.52 + 0.33y = -0.40 + 0.03y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.03y' to each side of the equation. -0.52 + 0.33y + -0.03y = -0.40 + 0.03y + -0.03y Combine like terms: 0.33y + -0.03y = 0.3y -0.52 + 0.3y = -0.40 + 0.03y + -0.03y Combine like terms: 0.03y + -0.03y = 0.00 -0.52 + 0.3y = -0.40 + 0.00 -0.52 + 0.3y = -0.40 Add '0.52' to each side of the equation. -0.52 + 0.52 + 0.3y = -0.40 + 0.52 Combine like terms: -0.52 + 0.52 = 0.00 0.00 + 0.3y = -0.40 + 0.52 0.3y = -0.40 + 0.52 Combine like terms: -0.40 + 0.52 = 0.12 0.3y = 0.12 Divide each side by '0.3'. y = 0.4 Simplifying y = 0.4
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