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Simplifying 0.18(y + -2) + 0.16 = 0.04y + -0.9 Reorder the terms: 0.18(-2 + y) + 0.16 = 0.04y + -0.9 (-2 * 0.18 + y * 0.18) + 0.16 = 0.04y + -0.9 (-0.36 + 0.18y) + 0.16 = 0.04y + -0.9 Reorder the terms: -0.36 + 0.16 + 0.18y = 0.04y + -0.9 Combine like terms: -0.36 + 0.16 = -0.2 -0.2 + 0.18y = 0.04y + -0.9 Reorder the terms: -0.2 + 0.18y = -0.9 + 0.04y Solving -0.2 + 0.18y = -0.9 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.2 + 0.18y + -0.04y = -0.9 + 0.04y + -0.04y Combine like terms: 0.18y + -0.04y = 0.14y -0.2 + 0.14y = -0.9 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.2 + 0.14y = -0.9 + 0.00 -0.2 + 0.14y = -0.9 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.14y = -0.9 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.14y = -0.9 + 0.2 0.14y = -0.9 + 0.2 Combine like terms: -0.9 + 0.2 = -0.7 0.14y = -0.7 Divide each side by '0.14'. y = -5 Simplifying y = -5
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