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Simplifying 0.06(y + -8) + 0.12y = 0.08y + -0.01(20) Reorder the terms: 0.06(-8 + y) + 0.12y = 0.08y + -0.01(20) (-8 * 0.06 + y * 0.06) + 0.12y = 0.08y + -0.01(20) (-0.48 + 0.06y) + 0.12y = 0.08y + -0.01(20) Combine like terms: 0.06y + 0.12y = 0.18y -0.48 + 0.18y = 0.08y + -0.01(20) Multiply -0.01 * 20 -0.48 + 0.18y = 0.08y + -0.2 Reorder the terms: -0.48 + 0.18y = -0.2 + 0.08y Solving -0.48 + 0.18y = -0.2 + 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. -0.48 + 0.18y + -0.08y = -0.2 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -0.48 + 0.1y = -0.2 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.48 + 0.1y = -0.2 + 0.00 -0.48 + 0.1y = -0.2 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.1y = -0.2 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.1y = -0.2 + 0.48 0.1y = -0.2 + 0.48 Combine like terms: -0.2 + 0.48 = 0.28 0.1y = 0.28 Divide each side by '0.1'. y = 2.8 Simplifying y = 2.8
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