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Simplifying 0.20(y + -3) + 0.004y = 0.16 + -0.01(30) Reorder the terms: 0.20(-3 + y) + 0.004y = 0.16 + -0.01(30) (-3 * 0.20 + y * 0.20) + 0.004y = 0.16 + -0.01(30) (-0.6 + 0.20y) + 0.004y = 0.16 + -0.01(30) Combine like terms: 0.20y + 0.004y = 0.204y -0.6 + 0.204y = 0.16 + -0.01(30) Multiply -0.01 * 30 -0.6 + 0.204y = 0.16 + -0.3 Combine like terms: 0.16 + -0.3 = -0.14 -0.6 + 0.204y = -0.14 Solving -0.6 + 0.204y = -0.14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.204y = -0.14 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.204y = -0.14 + 0.6 0.204y = -0.14 + 0.6 Combine like terms: -0.14 + 0.6 = 0.46 0.204y = 0.46 Divide each side by '0.204'. y = 2.254901961 Simplifying y = 2.254901961
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