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Simplifying 0.08(y + -3) + 0.20y = 0.02y + -0.09(10) Reorder the terms: 0.08(-3 + y) + 0.20y = 0.02y + -0.09(10) (-3 * 0.08 + y * 0.08) + 0.20y = 0.02y + -0.09(10) (-0.24 + 0.08y) + 0.20y = 0.02y + -0.09(10) Combine like terms: 0.08y + 0.20y = 0.28y -0.24 + 0.28y = 0.02y + -0.09(10) Multiply -0.09 * 10 -0.24 + 0.28y = 0.02y + -0.9 Reorder the terms: -0.24 + 0.28y = -0.9 + 0.02y Solving -0.24 + 0.28y = -0.9 + 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. -0.24 + 0.28y + -0.02y = -0.9 + 0.02y + -0.02y Combine like terms: 0.28y + -0.02y = 0.26y -0.24 + 0.26y = -0.9 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.24 + 0.26y = -0.9 + 0.00 -0.24 + 0.26y = -0.9 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.26y = -0.9 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.26y = -0.9 + 0.24 0.26y = -0.9 + 0.24 Combine like terms: -0.9 + 0.24 = -0.66 0.26y = -0.66 Divide each side by '0.26'. y = -2.538461538 Simplifying y = -2.538461538
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