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Simplifying 0.06(y + -7) + 0.04y = 0.20y + -0.03(40) Reorder the terms: 0.06(-7 + y) + 0.04y = 0.20y + -0.03(40) (-7 * 0.06 + y * 0.06) + 0.04y = 0.20y + -0.03(40) (-0.42 + 0.06y) + 0.04y = 0.20y + -0.03(40) Combine like terms: 0.06y + 0.04y = 0.1y -0.42 + 0.1y = 0.20y + -0.03(40) Multiply -0.03 * 40 -0.42 + 0.1y = 0.20y + -1.2 Reorder the terms: -0.42 + 0.1y = -1.2 + 0.20y Solving -0.42 + 0.1y = -1.2 + 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. -0.42 + 0.1y + -0.20y = -1.2 + 0.20y + -0.20y Combine like terms: 0.1y + -0.20y = -0.1y -0.42 + -0.1y = -1.2 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.42 + -0.1y = -1.2 + 0.00 -0.42 + -0.1y = -1.2 Add '0.42' to each side of the equation. -0.42 + 0.42 + -0.1y = -1.2 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + -0.1y = -1.2 + 0.42 -0.1y = -1.2 + 0.42 Combine like terms: -1.2 + 0.42 = -0.78 -0.1y = -0.78 Divide each side by '-0.1'. y = 7.8 Simplifying y = 7.8
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