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Simplifying 0.04(y + -4) + 0.06y = 0.18y + -0.01(70) Reorder the terms: 0.04(-4 + y) + 0.06y = 0.18y + -0.01(70) (-4 * 0.04 + y * 0.04) + 0.06y = 0.18y + -0.01(70) (-0.16 + 0.04y) + 0.06y = 0.18y + -0.01(70) Combine like terms: 0.04y + 0.06y = 0.1y -0.16 + 0.1y = 0.18y + -0.01(70) Multiply -0.01 * 70 -0.16 + 0.1y = 0.18y + -0.7 Reorder the terms: -0.16 + 0.1y = -0.7 + 0.18y Solving -0.16 + 0.1y = -0.7 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.16 + 0.1y + -0.18y = -0.7 + 0.18y + -0.18y Combine like terms: 0.1y + -0.18y = -0.08y -0.16 + -0.08y = -0.7 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.16 + -0.08y = -0.7 + 0.00 -0.16 + -0.08y = -0.7 Add '0.16' to each side of the equation. -0.16 + 0.16 + -0.08y = -0.7 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + -0.08y = -0.7 + 0.16 -0.08y = -0.7 + 0.16 Combine like terms: -0.7 + 0.16 = -0.54 -0.08y = -0.54 Divide each side by '-0.08'. y = 6.75 Simplifying y = 6.75
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