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Simplifying 0.12(y + -8) + 0.16y = 0.04y + -0.9 Reorder the terms: 0.12(-8 + y) + 0.16y = 0.04y + -0.9 (-8 * 0.12 + y * 0.12) + 0.16y = 0.04y + -0.9 (-0.96 + 0.12y) + 0.16y = 0.04y + -0.9 Combine like terms: 0.12y + 0.16y = 0.28y -0.96 + 0.28y = 0.04y + -0.9 Reorder the terms: -0.96 + 0.28y = -0.9 + 0.04y Solving -0.96 + 0.28y = -0.9 + 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. -0.96 + 0.28y + -0.04y = -0.9 + 0.04y + -0.04y Combine like terms: 0.28y + -0.04y = 0.24y -0.96 + 0.24y = -0.9 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.96 + 0.24y = -0.9 + 0.00 -0.96 + 0.24y = -0.9 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.24y = -0.9 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.24y = -0.9 + 0.96 0.24y = -0.9 + 0.96 Combine like terms: -0.9 + 0.96 = 0.06 0.24y = 0.06 Divide each side by '0.24'. y = 0.25 Simplifying y = 0.25
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