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Simplifying 0.16(y + -4) + 0.08y = 0.02y + -0.2 Reorder the terms: 0.16(-4 + y) + 0.08y = 0.02y + -0.2 (-4 * 0.16 + y * 0.16) + 0.08y = 0.02y + -0.2 (-0.64 + 0.16y) + 0.08y = 0.02y + -0.2 Combine like terms: 0.16y + 0.08y = 0.24y -0.64 + 0.24y = 0.02y + -0.2 Reorder the terms: -0.64 + 0.24y = -0.2 + 0.02y Solving -0.64 + 0.24y = -0.2 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.64 + 0.24y + -0.02y = -0.2 + 0.02y + -0.02y Combine like terms: 0.24y + -0.02y = 0.22y -0.64 + 0.22y = -0.2 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.64 + 0.22y = -0.2 + 0.00 -0.64 + 0.22y = -0.2 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.22y = -0.2 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.22y = -0.2 + 0.64 0.22y = -0.2 + 0.64 Combine like terms: -0.2 + 0.64 = 0.44 0.22y = 0.44 Divide each side by '0.22'. y = 2 Simplifying y = 2
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