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Simplifying 0.08(y + -3) + 0.10y = 0.20y + -0.01(40) Reorder the terms: 0.08(-3 + y) + 0.10y = 0.20y + -0.01(40) (-3 * 0.08 + y * 0.08) + 0.10y = 0.20y + -0.01(40) (-0.24 + 0.08y) + 0.10y = 0.20y + -0.01(40) Combine like terms: 0.08y + 0.10y = 0.18y -0.24 + 0.18y = 0.20y + -0.01(40) Multiply -0.01 * 40 -0.24 + 0.18y = 0.20y + -0.4 Reorder the terms: -0.24 + 0.18y = -0.4 + 0.20y Solving -0.24 + 0.18y = -0.4 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.24 + 0.18y + -0.20y = -0.4 + 0.20y + -0.20y Combine like terms: 0.18y + -0.20y = -0.02y -0.24 + -0.02y = -0.4 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.24 + -0.02y = -0.4 + 0.00 -0.24 + -0.02y = -0.4 Add '0.24' to each side of the equation. -0.24 + 0.24 + -0.02y = -0.4 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + -0.02y = -0.4 + 0.24 -0.02y = -0.4 + 0.24 Combine like terms: -0.4 + 0.24 = -0.16 -0.02y = -0.16 Divide each side by '-0.02'. y = 8 Simplifying y = 8
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