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Simplifying 0.12(y + -2) + 0.04y = 0.08 + -0.4 Reorder the terms: 0.12(-2 + y) + 0.04y = 0.08 + -0.4 (-2 * 0.12 + y * 0.12) + 0.04y = 0.08 + -0.4 (-0.24 + 0.12y) + 0.04y = 0.08 + -0.4 Combine like terms: 0.12y + 0.04y = 0.16y -0.24 + 0.16y = 0.08 + -0.4 Combine like terms: 0.08 + -0.4 = -0.32 -0.24 + 0.16y = -0.32 Solving -0.24 + 0.16y = -0.32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.16y = -0.32 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.16y = -0.32 + 0.24 0.16y = -0.32 + 0.24 Combine like terms: -0.32 + 0.24 = -0.08 0.16y = -0.08 Divide each side by '0.16'. y = -0.5 Simplifying y = -0.5
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