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Simplifying 0.04(y + -4) + 0.02y = 0.20y + -0.03(10) Reorder the terms: 0.04(-4 + y) + 0.02y = 0.20y + -0.03(10) (-4 * 0.04 + y * 0.04) + 0.02y = 0.20y + -0.03(10) (-0.16 + 0.04y) + 0.02y = 0.20y + -0.03(10) Combine like terms: 0.04y + 0.02y = 0.06y -0.16 + 0.06y = 0.20y + -0.03(10) Multiply -0.03 * 10 -0.16 + 0.06y = 0.20y + -0.3 Reorder the terms: -0.16 + 0.06y = -0.3 + 0.20y Solving -0.16 + 0.06y = -0.3 + 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. -0.16 + 0.06y + -0.20y = -0.3 + 0.20y + -0.20y Combine like terms: 0.06y + -0.20y = -0.14y -0.16 + -0.14y = -0.3 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.16 + -0.14y = -0.3 + 0.00 -0.16 + -0.14y = -0.3 Add '0.16' to each side of the equation. -0.16 + 0.16 + -0.14y = -0.3 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + -0.14y = -0.3 + 0.16 -0.14y = -0.3 + 0.16 Combine like terms: -0.3 + 0.16 = -0.14 -0.14y = -0.14 Divide each side by '-0.14'. y = 1 Simplifying y = 1
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