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Simplifying 0.06(y + -4) + 0.04y = 0.02y + -0.01(70) Reorder the terms: 0.06(-4 + y) + 0.04y = 0.02y + -0.01(70) (-4 * 0.06 + y * 0.06) + 0.04y = 0.02y + -0.01(70) (-0.24 + 0.06y) + 0.04y = 0.02y + -0.01(70) Combine like terms: 0.06y + 0.04y = 0.1y -0.24 + 0.1y = 0.02y + -0.01(70) Multiply -0.01 * 70 -0.24 + 0.1y = 0.02y + -0.7 Reorder the terms: -0.24 + 0.1y = -0.7 + 0.02y Solving -0.24 + 0.1y = -0.7 + 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. -0.24 + 0.1y + -0.02y = -0.7 + 0.02y + -0.02y Combine like terms: 0.1y + -0.02y = 0.08y -0.24 + 0.08y = -0.7 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.24 + 0.08y = -0.7 + 0.00 -0.24 + 0.08y = -0.7 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.08y = -0.7 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.08y = -0.7 + 0.24 0.08y = -0.7 + 0.24 Combine like terms: -0.7 + 0.24 = -0.46 0.08y = -0.46 Divide each side by '0.08'. y = -5.75 Simplifying y = -5.75
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