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Simplifying 0.04(y + -2) + 0.18y = 0.08y + -0.01(50) Reorder the terms: 0.04(-2 + y) + 0.18y = 0.08y + -0.01(50) (-2 * 0.04 + y * 0.04) + 0.18y = 0.08y + -0.01(50) (-0.08 + 0.04y) + 0.18y = 0.08y + -0.01(50) Combine like terms: 0.04y + 0.18y = 0.22y -0.08 + 0.22y = 0.08y + -0.01(50) Multiply -0.01 * 50 -0.08 + 0.22y = 0.08y + -0.5 Reorder the terms: -0.08 + 0.22y = -0.5 + 0.08y Solving -0.08 + 0.22y = -0.5 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.08 + 0.22y + -0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.22y + -0.08y = 0.14y -0.08 + 0.14y = -0.5 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.08 + 0.14y = -0.5 + 0.00 -0.08 + 0.14y = -0.5 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.14y = -0.5 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.14y = -0.5 + 0.08 0.14y = -0.5 + 0.08 Combine like terms: -0.5 + 0.08 = -0.42 0.14y = -0.42 Divide each side by '0.14'. y = -3 Simplifying y = -3
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