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Simplifying 0.06(y + -2) + 0.18y = 0.16y + -0.03(20) Reorder the terms: 0.06(-2 + y) + 0.18y = 0.16y + -0.03(20) (-2 * 0.06 + y * 0.06) + 0.18y = 0.16y + -0.03(20) (-0.12 + 0.06y) + 0.18y = 0.16y + -0.03(20) Combine like terms: 0.06y + 0.18y = 0.24y -0.12 + 0.24y = 0.16y + -0.03(20) Multiply -0.03 * 20 -0.12 + 0.24y = 0.16y + -0.6 Reorder the terms: -0.12 + 0.24y = -0.6 + 0.16y Solving -0.12 + 0.24y = -0.6 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.12 + 0.24y + -0.16y = -0.6 + 0.16y + -0.16y Combine like terms: 0.24y + -0.16y = 0.08y -0.12 + 0.08y = -0.6 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 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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