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Simplifying 0.06(y + -2) + 0.10y = 0.08y + -0.6 Reorder the terms: 0.06(-2 + y) + 0.10y = 0.08y + -0.6 (-2 * 0.06 + y * 0.06) + 0.10y = 0.08y + -0.6 (-0.12 + 0.06y) + 0.10y = 0.08y + -0.6 Combine like terms: 0.06y + 0.10y = 0.16y -0.12 + 0.16y = 0.08y + -0.6 Reorder the terms: -0.12 + 0.16y = -0.6 + 0.08y Solving -0.12 + 0.16y = -0.6 + 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. -0.12 + 0.16y + -0.08y = -0.6 + 0.08y + -0.08y Combine like terms: 0.16y + -0.08y = 0.08y -0.12 + 0.08y = -0.6 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 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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