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Simplifying 0.02(y + -2) + 0.16 = 0.06 + -0.01(40) Reorder the terms: 0.02(-2 + y) + 0.16 = 0.06 + -0.01(40) (-2 * 0.02 + y * 0.02) + 0.16 = 0.06 + -0.01(40) (-0.04 + 0.02y) + 0.16 = 0.06 + -0.01(40) Reorder the terms: -0.04 + 0.16 + 0.02y = 0.06 + -0.01(40) Combine like terms: -0.04 + 0.16 = 0.12 0.12 + 0.02y = 0.06 + -0.01(40) Multiply -0.01 * 40 0.12 + 0.02y = 0.06 + -0.4 Combine like terms: 0.06 + -0.4 = -0.34 0.12 + 0.02y = -0.34 Solving 0.12 + 0.02y = -0.34 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.02y = -0.34 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.02y = -0.34 + -0.12 0.02y = -0.34 + -0.12 Combine like terms: -0.34 + -0.12 = -0.46 0.02y = -0.46 Divide each side by '0.02'. y = -23 Simplifying y = -23
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