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Simplifying 0.06y + 0.9 = 0.2 + -0.1y Reorder the terms: 0.9 + 0.06y = 0.2 + -0.1y Solving 0.9 + 0.06y = 0.2 + -0.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.1y' to each side of the equation. 0.9 + 0.06y + 0.1y = 0.2 + -0.1y + 0.1y Combine like terms: 0.06y + 0.1y = 0.16y 0.9 + 0.16y = 0.2 + -0.1y + 0.1y Combine like terms: -0.1y + 0.1y = 0.0 0.9 + 0.16y = 0.2 + 0.0 0.9 + 0.16y = 0.2 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.16y = 0.2 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.16y = 0.2 + -0.9 0.16y = 0.2 + -0.9 Combine like terms: 0.2 + -0.9 = -0.7 0.16y = -0.7 Divide each side by '0.16'. y = -4.375 Simplifying y = -4.375
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