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Simplifying 0.08(y + -5) + 0.16y = 0.14y + -0.6 Reorder the terms: 0.08(-5 + y) + 0.16y = 0.14y + -0.6 (-5 * 0.08 + y * 0.08) + 0.16y = 0.14y + -0.6 (-0.4 + 0.08y) + 0.16y = 0.14y + -0.6 Combine like terms: 0.08y + 0.16y = 0.24y -0.4 + 0.24y = 0.14y + -0.6 Reorder the terms: -0.4 + 0.24y = -0.6 + 0.14y Solving -0.4 + 0.24y = -0.6 + 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. -0.4 + 0.24y + -0.14y = -0.6 + 0.14y + -0.14y Combine like terms: 0.24y + -0.14y = 0.1y -0.4 + 0.1y = -0.6 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.4 + 0.1y = -0.6 + 0.00 -0.4 + 0.1y = -0.6 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.1y = -0.6 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.1y = -0.6 + 0.4 0.1y = -0.6 + 0.4 Combine like terms: -0.6 + 0.4 = -0.2 0.1y = -0.2 Divide each side by '0.1'. y = -2 Simplifying y = -2
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