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Simplifying 0.4(y + -4) + 0.16y = 0.08y + -1 Reorder the terms: 0.4(-4 + y) + 0.16y = 0.08y + -1 (-4 * 0.4 + y * 0.4) + 0.16y = 0.08y + -1 (-1.6 + 0.4y) + 0.16y = 0.08y + -1 Combine like terms: 0.4y + 0.16y = 0.56y -1.6 + 0.56y = 0.08y + -1 Reorder the terms: -1.6 + 0.56y = -1 + 0.08y Solving -1.6 + 0.56y = -1 + 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. -1.6 + 0.56y + -0.08y = -1 + 0.08y + -0.08y Combine like terms: 0.56y + -0.08y = 0.48y -1.6 + 0.48y = -1 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -1.6 + 0.48y = -1 + 0.00 -1.6 + 0.48y = -1 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.48y = -1 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.48y = -1 + 1.6 0.48y = -1 + 1.6 Combine like terms: -1 + 1.6 = 0.6 0.48y = 0.6 Divide each side by '0.48'. y = 1.25 Simplifying y = 1.25
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