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Simplifying 0.16(y + -5) + 0.12y = 0.20y + -0.6 Reorder the terms: 0.16(-5 + y) + 0.12y = 0.20y + -0.6 (-5 * 0.16 + y * 0.16) + 0.12y = 0.20y + -0.6 (-0.8 + 0.16y) + 0.12y = 0.20y + -0.6 Combine like terms: 0.16y + 0.12y = 0.28y -0.8 + 0.28y = 0.20y + -0.6 Reorder the terms: -0.8 + 0.28y = -0.6 + 0.20y Solving -0.8 + 0.28y = -0.6 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.8 + 0.28y + -0.20y = -0.6 + 0.20y + -0.20y Combine like terms: 0.28y + -0.20y = 0.08y -0.8 + 0.08y = -0.6 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.8 + 0.08y = -0.6 + 0.00 -0.8 + 0.08y = -0.6 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.08y = -0.6 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.08y = -0.6 + 0.8 0.08y = -0.6 + 0.8 Combine like terms: -0.6 + 0.8 = 0.2 0.08y = 0.2 Divide each side by '0.08'. y = 2.5 Simplifying y = 2.5
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