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Simplifying 0.08(y + -5) + 0.02y = 0.20y + -0.03(40) Reorder the terms: 0.08(-5 + y) + 0.02y = 0.20y + -0.03(40) (-5 * 0.08 + y * 0.08) + 0.02y = 0.20y + -0.03(40) (-0.4 + 0.08y) + 0.02y = 0.20y + -0.03(40) Combine like terms: 0.08y + 0.02y = 0.1y -0.4 + 0.1y = 0.20y + -0.03(40) Multiply -0.03 * 40 -0.4 + 0.1y = 0.20y + -1.2 Reorder the terms: -0.4 + 0.1y = -1.2 + 0.20y Solving -0.4 + 0.1y = -1.2 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.4 + 0.1y + -0.20y = -1.2 + 0.20y + -0.20y Combine like terms: 0.1y + -0.20y = -0.1y -0.4 + -0.1y = -1.2 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.4 + -0.1y = -1.2 + 0.00 -0.4 + -0.1y = -1.2 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.1y = -1.2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.1y = -1.2 + 0.4 -0.1y = -1.2 + 0.4 Combine like terms: -1.2 + 0.4 = -0.8 -0.1y = -0.8 Divide each side by '-0.1'. y = 8 Simplifying y = 8
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