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Simplifying 0.02(y + -8) + 0.08y = 0.01(40) Reorder the terms: 0.02(-8 + y) + 0.08y = 0.01(40) (-8 * 0.02 + y * 0.02) + 0.08y = 0.01(40) (-0.16 + 0.02y) + 0.08y = 0.01(40) Combine like terms: 0.02y + 0.08y = 0.1y -0.16 + 0.1y = 0.01(40) Multiply 0.01 * 40 -0.16 + 0.1y = 0.4 Solving -0.16 + 0.1y = 0.4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.1y = 0.4 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.1y = 0.4 + 0.16 0.1y = 0.4 + 0.16 Combine like terms: 0.4 + 0.16 = 0.56 0.1y = 0.56 Divide each side by '0.1'. y = 5.6 Simplifying y = 5.6
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