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Simplifying 0.12(y + -1) + 0.04y = 0.08y + -0.5 Reorder the terms: 0.12(-1 + y) + 0.04y = 0.08y + -0.5 (-1 * 0.12 + y * 0.12) + 0.04y = 0.08y + -0.5 (-0.12 + 0.12y) + 0.04y = 0.08y + -0.5 Combine like terms: 0.12y + 0.04y = 0.16y -0.12 + 0.16y = 0.08y + -0.5 Reorder the terms: -0.12 + 0.16y = -0.5 + 0.08y Solving -0.12 + 0.16y = -0.5 + 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. -0.12 + 0.16y + -0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.16y + -0.08y = 0.08y -0.12 + 0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.12 + 0.08y = -0.5 + 0.00 -0.12 + 0.08y = -0.5 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.08y = -0.5 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.08y = -0.5 + 0.12 0.08y = -0.5 + 0.12 Combine like terms: -0.5 + 0.12 = -0.38 0.08y = -0.38 Divide each side by '0.08'. y = -4.75 Simplifying y = -4.75
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