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Simplifying 0.16(y + -2) + 0.12y = 0.2y + -0.6 Reorder the terms: 0.16(-2 + y) + 0.12y = 0.2y + -0.6 (-2 * 0.16 + y * 0.16) + 0.12y = 0.2y + -0.6 (-0.32 + 0.16y) + 0.12y = 0.2y + -0.6 Combine like terms: 0.16y + 0.12y = 0.28y -0.32 + 0.28y = 0.2y + -0.6 Reorder the terms: -0.32 + 0.28y = -0.6 + 0.2y Solving -0.32 + 0.28y = -0.6 + 0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.2y' to each side of the equation. -0.32 + 0.28y + -0.2y = -0.6 + 0.2y + -0.2y Combine like terms: 0.28y + -0.2y = 0.08y -0.32 + 0.08y = -0.6 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 -0.32 + 0.08y = -0.6 + 0.0 -0.32 + 0.08y = -0.6 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.08y = -0.6 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.08y = -0.6 + 0.32 0.08y = -0.6 + 0.32 Combine like terms: -0.6 + 0.32 = -0.28 0.08y = -0.28 Divide each side by '0.08'. y = -3.5 Simplifying y = -3.5
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