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Simplifying 0.06(y + -5) + 0.04y = 0.08y + -0.10(40) Reorder the terms: 0.06(-5 + y) + 0.04y = 0.08y + -0.10(40) (-5 * 0.06 + y * 0.06) + 0.04y = 0.08y + -0.10(40) (-0.3 + 0.06y) + 0.04y = 0.08y + -0.10(40) Combine like terms: 0.06y + 0.04y = 0.1y -0.3 + 0.1y = 0.08y + -0.10(40) Multiply -0.10 * 40 -0.3 + 0.1y = 0.08y + -4 Reorder the terms: -0.3 + 0.1y = -4 + 0.08y Solving -0.3 + 0.1y = -4 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.3 + 0.1y + -0.08y = -4 + 0.08y + -0.08y Combine like terms: 0.1y + -0.08y = 0.02y -0.3 + 0.02y = -4 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.3 + 0.02y = -4 + 0.00 -0.3 + 0.02y = -4 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.02y = -4 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.02y = -4 + 0.3 0.02y = -4 + 0.3 Combine like terms: -4 + 0.3 = -3.7 0.02y = -3.7 Divide each side by '0.02'. y = -185 Simplifying y = -185
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