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Simplifying 0.04(y + -6) + 0.12y = 0.06y + -0.6 Reorder the terms: 0.04(-6 + y) + 0.12y = 0.06y + -0.6 (-6 * 0.04 + y * 0.04) + 0.12y = 0.06y + -0.6 (-0.24 + 0.04y) + 0.12y = 0.06y + -0.6 Combine like terms: 0.04y + 0.12y = 0.16y -0.24 + 0.16y = 0.06y + -0.6 Reorder the terms: -0.24 + 0.16y = -0.6 + 0.06y Solving -0.24 + 0.16y = -0.6 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.24 + 0.16y + -0.06y = -0.6 + 0.06y + -0.06y Combine like terms: 0.16y + -0.06y = 0.1y -0.24 + 0.1y = -0.6 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.24 + 0.1y = -0.6 + 0.00 -0.24 + 0.1y = -0.6 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.1y = -0.6 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.1y = -0.6 + 0.24 0.1y = -0.6 + 0.24 Combine like terms: -0.6 + 0.24 = -0.36 0.1y = -0.36 Divide each side by '0.1'. y = -3.6 Simplifying y = -3.6
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