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Simplifying 0.12(y + -4) + 0.08y = 0.04y + -2 Reorder the terms: 0.12(-4 + y) + 0.08y = 0.04y + -2 (-4 * 0.12 + y * 0.12) + 0.08y = 0.04y + -2 (-0.48 + 0.12y) + 0.08y = 0.04y + -2 Combine like terms: 0.12y + 0.08y = 0.2y -0.48 + 0.2y = 0.04y + -2 Reorder the terms: -0.48 + 0.2y = -2 + 0.04y Solving -0.48 + 0.2y = -2 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.48 + 0.2y + -0.04y = -2 + 0.04y + -0.04y Combine like terms: 0.2y + -0.04y = 0.16y -0.48 + 0.16y = -2 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.48 + 0.16y = -2 + 0.00 -0.48 + 0.16y = -2 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.16y = -2 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.16y = -2 + 0.48 0.16y = -2 + 0.48 Combine like terms: -2 + 0.48 = -1.52 0.16y = -1.52 Divide each side by '0.16'. y = -9.5 Simplifying y = -9.5
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