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Simplifying 0.10(y + -2) + 0.08 = 0.02y + -0.6 Reorder the terms: 0.10(-2 + y) + 0.08 = 0.02y + -0.6 (-2 * 0.10 + y * 0.10) + 0.08 = 0.02y + -0.6 (-0.2 + 0.10y) + 0.08 = 0.02y + -0.6 Reorder the terms: -0.2 + 0.08 + 0.10y = 0.02y + -0.6 Combine like terms: -0.2 + 0.08 = -0.12 -0.12 + 0.10y = 0.02y + -0.6 Reorder the terms: -0.12 + 0.10y = -0.6 + 0.02y Solving -0.12 + 0.10y = -0.6 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.12 + 0.10y + -0.02y = -0.6 + 0.02y + -0.02y Combine like terms: 0.10y + -0.02y = 0.08y -0.12 + 0.08y = -0.6 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.12 + 0.08y = -0.6 + 0.00 -0.12 + 0.08y = -0.6 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.08y = -0.6 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.08y = -0.6 + 0.12 0.08y = -0.6 + 0.12 Combine like terms: -0.6 + 0.12 = -0.48 0.08y = -0.48 Divide each side by '0.08'. y = -6 Simplifying y = -6
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