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Simplifying 0.18(y + -2) + 0.04y = 0.08y + -1.2 Reorder the terms: 0.18(-2 + y) + 0.04y = 0.08y + -1.2 (-2 * 0.18 + y * 0.18) + 0.04y = 0.08y + -1.2 (-0.36 + 0.18y) + 0.04y = 0.08y + -1.2 Combine like terms: 0.18y + 0.04y = 0.22y -0.36 + 0.22y = 0.08y + -1.2 Reorder the terms: -0.36 + 0.22y = -1.2 + 0.08y Solving -0.36 + 0.22y = -1.2 + 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. -0.36 + 0.22y + -0.08y = -1.2 + 0.08y + -0.08y Combine like terms: 0.22y + -0.08y = 0.14y -0.36 + 0.14y = -1.2 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.36 + 0.14y = -1.2 + 0.00 -0.36 + 0.14y = -1.2 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.14y = -1.2 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.14y = -1.2 + 0.36 0.14y = -1.2 + 0.36 Combine like terms: -1.2 + 0.36 = -0.84 0.14y = -0.84 Divide each side by '0.14'. y = -6 Simplifying y = -6
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