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Simplifying 0.04(y + -5) + 0.02y = 0.16y + -0.03(20) Reorder the terms: 0.04(-5 + y) + 0.02y = 0.16y + -0.03(20) (-5 * 0.04 + y * 0.04) + 0.02y = 0.16y + -0.03(20) (-0.2 + 0.04y) + 0.02y = 0.16y + -0.03(20) Combine like terms: 0.04y + 0.02y = 0.06y -0.2 + 0.06y = 0.16y + -0.03(20) Multiply -0.03 * 20 -0.2 + 0.06y = 0.16y + -0.6 Reorder the terms: -0.2 + 0.06y = -0.6 + 0.16y Solving -0.2 + 0.06y = -0.6 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.2 + 0.06y + -0.16y = -0.6 + 0.16y + -0.16y Combine like terms: 0.06y + -0.16y = -0.1y -0.2 + -0.1y = -0.6 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.2 + -0.1y = -0.6 + 0.00 -0.2 + -0.1y = -0.6 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.1y = -0.6 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.1y = -0.6 + 0.2 -0.1y = -0.6 + 0.2 Combine like terms: -0.6 + 0.2 = -0.4 -0.1y = -0.4 Divide each side by '-0.1'. y = 4 Simplifying y = 4
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