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Simplifying 0.12(y + -5) + 0.20y = 0.08y + -0.03 Reorder the terms: 0.12(-5 + y) + 0.20y = 0.08y + -0.03 (-5 * 0.12 + y * 0.12) + 0.20y = 0.08y + -0.03 (-0.6 + 0.12y) + 0.20y = 0.08y + -0.03 Combine like terms: 0.12y + 0.20y = 0.32y -0.6 + 0.32y = 0.08y + -0.03 Reorder the terms: -0.6 + 0.32y = -0.03 + 0.08y Solving -0.6 + 0.32y = -0.03 + 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. -0.6 + 0.32y + -0.08y = -0.03 + 0.08y + -0.08y Combine like terms: 0.32y + -0.08y = 0.24y -0.6 + 0.24y = -0.03 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.6 + 0.24y = -0.03 + 0.00 -0.6 + 0.24y = -0.03 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.24y = -0.03 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.24y = -0.03 + 0.6 0.24y = -0.03 + 0.6 Combine like terms: -0.03 + 0.6 = 0.57 0.24y = 0.57 Divide each side by '0.24'. y = 2.375 Simplifying y = 2.375
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