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Simplifying 0.06(y + -4) + 0.12y = 0.08y + -0.05(20) Reorder the terms: 0.06(-4 + y) + 0.12y = 0.08y + -0.05(20) (-4 * 0.06 + y * 0.06) + 0.12y = 0.08y + -0.05(20) (-0.24 + 0.06y) + 0.12y = 0.08y + -0.05(20) Combine like terms: 0.06y + 0.12y = 0.18y -0.24 + 0.18y = 0.08y + -0.05(20) Multiply -0.05 * 20 -0.24 + 0.18y = 0.08y + -1 Reorder the terms: -0.24 + 0.18y = -1 + 0.08y Solving -0.24 + 0.18y = -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. -0.24 + 0.18y + -0.08y = -1 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -0.24 + 0.1y = -1 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.24 + 0.1y = -1 + 0.00 -0.24 + 0.1y = -1 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.1y = -1 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.1y = -1 + 0.24 0.1y = -1 + 0.24 Combine like terms: -1 + 0.24 = -0.76 0.1y = -0.76 Divide each side by '0.1'. y = -7.6 Simplifying y = -7.6
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