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Simplifying 0.04(y + -1) + 0.12y = 0.06y + -0.03(20) Reorder the terms: 0.04(-1 + y) + 0.12y = 0.06y + -0.03(20) (-1 * 0.04 + y * 0.04) + 0.12y = 0.06y + -0.03(20) (-0.04 + 0.04y) + 0.12y = 0.06y + -0.03(20) Combine like terms: 0.04y + 0.12y = 0.16y -0.04 + 0.16y = 0.06y + -0.03(20) Multiply -0.03 * 20 -0.04 + 0.16y = 0.06y + -0.6 Reorder the terms: -0.04 + 0.16y = -0.6 + 0.06y Solving -0.04 + 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. -0.04 + 0.16y + -0.06y = -0.6 + 0.06y + -0.06y Combine like terms: 0.16y + -0.06y = 0.1y -0.04 + 0.1y = -0.6 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.04 + 0.1y = -0.6 + 0.00 -0.04 + 0.1y = -0.6 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.1y = -0.6 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.1y = -0.6 + 0.04 0.1y = -0.6 + 0.04 Combine like terms: -0.6 + 0.04 = -0.56 0.1y = -0.56 Divide each side by '0.1'. y = -5.6 Simplifying y = -5.6
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