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Simplifying 0.08(y + -9) + 0.02y = 0.04y + -0.6 Reorder the terms: 0.08(-9 + y) + 0.02y = 0.04y + -0.6 (-9 * 0.08 + y * 0.08) + 0.02y = 0.04y + -0.6 (-0.72 + 0.08y) + 0.02y = 0.04y + -0.6 Combine like terms: 0.08y + 0.02y = 0.1y -0.72 + 0.1y = 0.04y + -0.6 Reorder the terms: -0.72 + 0.1y = -0.6 + 0.04y Solving -0.72 + 0.1y = -0.6 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.72 + 0.1y + -0.04y = -0.6 + 0.04y + -0.04y Combine like terms: 0.1y + -0.04y = 0.06y -0.72 + 0.06y = -0.6 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.72 + 0.06y = -0.6 + 0.00 -0.72 + 0.06y = -0.6 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.06y = -0.6 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.06y = -0.6 + 0.72 0.06y = -0.6 + 0.72 Combine like terms: -0.6 + 0.72 = 0.12 0.06y = 0.12 Divide each side by '0.06'. y = 2 Simplifying y = 2
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