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Simplifying 0.16(y + -2) + 0.06y = 0.02y + -0.05(20) Reorder the terms: 0.16(-2 + y) + 0.06y = 0.02y + -0.05(20) (-2 * 0.16 + y * 0.16) + 0.06y = 0.02y + -0.05(20) (-0.32 + 0.16y) + 0.06y = 0.02y + -0.05(20) Combine like terms: 0.16y + 0.06y = 0.22y -0.32 + 0.22y = 0.02y + -0.05(20) Multiply -0.05 * 20 -0.32 + 0.22y = 0.02y + -1 Reorder the terms: -0.32 + 0.22y = -1 + 0.02y Solving -0.32 + 0.22y = -1 + 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. -0.32 + 0.22y + -0.02y = -1 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.32 + 0.2y = -1 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.32 + 0.2y = -1 + 0.00 -0.32 + 0.2y = -1 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.2y = -1 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.2y = -1 + 0.32 0.2y = -1 + 0.32 Combine like terms: -1 + 0.32 = -0.68 0.2y = -0.68 Divide each side by '0.2'. y = -3.4 Simplifying y = -3.4
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