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Simplifying 0.20(y + -5) + 0.04y = 0.16y + -0.7 Reorder the terms: 0.20(-5 + y) + 0.04y = 0.16y + -0.7 (-5 * 0.20 + y * 0.20) + 0.04y = 0.16y + -0.7 (-1 + 0.20y) + 0.04y = 0.16y + -0.7 Combine like terms: 0.20y + 0.04y = 0.24y -1 + 0.24y = 0.16y + -0.7 Reorder the terms: -1 + 0.24y = -0.7 + 0.16y Solving -1 + 0.24y = -0.7 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -1 + 0.24y + -0.16y = -0.7 + 0.16y + -0.16y Combine like terms: 0.24y + -0.16y = 0.08y -1 + 0.08y = -0.7 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -1 + 0.08y = -0.7 + 0.00 -1 + 0.08y = -0.7 Add '1' to each side of the equation. -1 + 1 + 0.08y = -0.7 + 1 Combine like terms: -1 + 1 = 0 0 + 0.08y = -0.7 + 1 0.08y = -0.7 + 1 Combine like terms: -0.7 + 1 = 0.3 0.08y = 0.3 Divide each side by '0.08'. y = 3.75 Simplifying y = 3.75
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