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Simplifying 0.04(y + -7) + 0.06y = 0.20y + -0.05(20) Reorder the terms: 0.04(-7 + y) + 0.06y = 0.20y + -0.05(20) (-7 * 0.04 + y * 0.04) + 0.06y = 0.20y + -0.05(20) (-0.28 + 0.04y) + 0.06y = 0.20y + -0.05(20) Combine like terms: 0.04y + 0.06y = 0.1y -0.28 + 0.1y = 0.20y + -0.05(20) Multiply -0.05 * 20 -0.28 + 0.1y = 0.20y + -1 Reorder the terms: -0.28 + 0.1y = -1 + 0.20y Solving -0.28 + 0.1y = -1 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.28 + 0.1y + -0.20y = -1 + 0.20y + -0.20y Combine like terms: 0.1y + -0.20y = -0.1y -0.28 + -0.1y = -1 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.28 + -0.1y = -1 + 0.00 -0.28 + -0.1y = -1 Add '0.28' to each side of the equation. -0.28 + 0.28 + -0.1y = -1 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + -0.1y = -1 + 0.28 -0.1y = -1 + 0.28 Combine like terms: -1 + 0.28 = -0.72 -0.1y = -0.72 Divide each side by '-0.1'. y = 7.2 Simplifying y = 7.2
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