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Simplifying 0.16(y + -5) + 0.12y = 0.08y + -1.8 Reorder the terms: 0.16(-5 + y) + 0.12y = 0.08y + -1.8 (-5 * 0.16 + y * 0.16) + 0.12y = 0.08y + -1.8 (-0.8 + 0.16y) + 0.12y = 0.08y + -1.8 Combine like terms: 0.16y + 0.12y = 0.28y -0.8 + 0.28y = 0.08y + -1.8 Reorder the terms: -0.8 + 0.28y = -1.8 + 0.08y Solving -0.8 + 0.28y = -1.8 + 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. -0.8 + 0.28y + -0.08y = -1.8 + 0.08y + -0.08y Combine like terms: 0.28y + -0.08y = 0.2y -0.8 + 0.2y = -1.8 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.8 + 0.2y = -1.8 + 0.00 -0.8 + 0.2y = -1.8 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.2y = -1.8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.2y = -1.8 + 0.8 0.2y = -1.8 + 0.8 Combine like terms: -1.8 + 0.8 = -1 0.2y = -1 Divide each side by '0.2'. y = -5 Simplifying y = -5
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