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Simplifying 0.06(y + -3) + 0.20 = 0.02y + -0.03(50) Reorder the terms: 0.06(-3 + y) + 0.20 = 0.02y + -0.03(50) (-3 * 0.06 + y * 0.06) + 0.20 = 0.02y + -0.03(50) (-0.18 + 0.06y) + 0.20 = 0.02y + -0.03(50) Reorder the terms: -0.18 + 0.20 + 0.06y = 0.02y + -0.03(50) Combine like terms: -0.18 + 0.20 = 0.02 0.02 + 0.06y = 0.02y + -0.03(50) Multiply -0.03 * 50 0.02 + 0.06y = 0.02y + -1.5 Reorder the terms: 0.02 + 0.06y = -1.5 + 0.02y Solving 0.02 + 0.06y = -1.5 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. 0.02 + 0.06y + -0.02y = -1.5 + 0.02y + -0.02y Combine like terms: 0.06y + -0.02y = 0.04y 0.02 + 0.04y = -1.5 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 0.02 + 0.04y = -1.5 + 0.00 0.02 + 0.04y = -1.5 Add '-0.02' to each side of the equation. 0.02 + -0.02 + 0.04y = -1.5 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + 0.04y = -1.5 + -0.02 0.04y = -1.5 + -0.02 Combine like terms: -1.5 + -0.02 = -1.52 0.04y = -1.52 Divide each side by '0.04'. y = -38 Simplifying y = -38
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