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Simplifying 4.7 + 8.1 = 4.2y + -3.2y + -8.4 Combine like terms: 4.7 + 8.1 = 12.8 12.8 = 4.2y + -3.2y + -8.4 Reorder the terms: 12.8 = -8.4 + 4.2y + -3.2y Combine like terms: 4.2y + -3.2y = 1y 12.8 = -8.4 + 1y Solving 12.8 = -8.4 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 12.8 + -1y = -8.4 + 1y + -1y Combine like terms: 1y + -1y = 0 12.8 + -1y = -8.4 + 0 12.8 + -1y = -8.4 Add '-12.8' to each side of the equation. 12.8 + -12.8 + -1y = -8.4 + -12.8 Combine like terms: 12.8 + -12.8 = 0.0 0.0 + -1y = -8.4 + -12.8 -1y = -8.4 + -12.8 Combine like terms: -8.4 + -12.8 = -21.2 -1y = -21.2 Divide each side by '-1'. y = 21.2 Simplifying y = 21.2
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