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Simplifying 0.06(y + -2) + 0.10y = 0.08y + -0.01(10) Reorder the terms: 0.06(-2 + y) + 0.10y = 0.08y + -0.01(10) (-2 * 0.06 + y * 0.06) + 0.10y = 0.08y + -0.01(10) (-0.12 + 0.06y) + 0.10y = 0.08y + -0.01(10) Combine like terms: 0.06y + 0.10y = 0.16y -0.12 + 0.16y = 0.08y + -0.01(10) Multiply -0.01 * 10 -0.12 + 0.16y = 0.08y + -0.1 Reorder the terms: -0.12 + 0.16y = -0.1 + 0.08y Solving -0.12 + 0.16y = -0.1 + 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 = -0.1 + 0.08y + -0.08y Combine like terms: 0.16y + -0.08y = 0.08y -0.12 + 0.08y = -0.1 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.12 + 0.08y = -0.1 + 0.00 -0.12 + 0.08y = -0.1 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.08y = -0.1 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.08y = -0.1 + 0.12 0.08y = -0.1 + 0.12 Combine like terms: -0.1 + 0.12 = 0.02 0.08y = 0.02 Divide each side by '0.08'. y = 0.25 Simplifying y = 0.25
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