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Simplifying 0.04(y + -4) + 0.2y = 0.14y + -0.9 Reorder the terms: 0.04(-4 + y) + 0.2y = 0.14y + -0.9 (-4 * 0.04 + y * 0.04) + 0.2y = 0.14y + -0.9 (-0.16 + 0.04y) + 0.2y = 0.14y + -0.9 Combine like terms: 0.04y + 0.2y = 0.24y -0.16 + 0.24y = 0.14y + -0.9 Reorder the terms: -0.16 + 0.24y = -0.9 + 0.14y Solving -0.16 + 0.24y = -0.9 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.16 + 0.24y + -0.14y = -0.9 + 0.14y + -0.14y Combine like terms: 0.24y + -0.14y = 0.1y -0.16 + 0.1y = -0.9 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.16 + 0.1y = -0.9 + 0.00 -0.16 + 0.1y = -0.9 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.1y = -0.9 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.1y = -0.9 + 0.16 0.1y = -0.9 + 0.16 Combine like terms: -0.9 + 0.16 = -0.74 0.1y = -0.74 Divide each side by '0.1'. y = -7.4 Simplifying y = -7.4
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