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Simplifying 0.02(y + -5) + 0.20y = 0.14y + -0.03(20) Reorder the terms: 0.02(-5 + y) + 0.20y = 0.14y + -0.03(20) (-5 * 0.02 + y * 0.02) + 0.20y = 0.14y + -0.03(20) (-0.1 + 0.02y) + 0.20y = 0.14y + -0.03(20) Combine like terms: 0.02y + 0.20y = 0.22y -0.1 + 0.22y = 0.14y + -0.03(20) Multiply -0.03 * 20 -0.1 + 0.22y = 0.14y + -0.6 Reorder the terms: -0.1 + 0.22y = -0.6 + 0.14y Solving -0.1 + 0.22y = -0.6 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.1 + 0.22y + -0.14y = -0.6 + 0.14y + -0.14y Combine like terms: 0.22y + -0.14y = 0.08y -0.1 + 0.08y = -0.6 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.1 + 0.08y = -0.6 + 0.00 -0.1 + 0.08y = -0.6 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.08y = -0.6 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.08y = -0.6 + 0.1 0.08y = -0.6 + 0.1 Combine like terms: -0.6 + 0.1 = -0.5 0.08y = -0.5 Divide each side by '0.08'. y = -6.25 Simplifying y = -6.25
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