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Simplifying 47 + 8.1 = 4.2y + -3.2y + -8.4 Combine like terms: 47 + 8.1 = 55.1 55.1 = 4.2y + -3.2y + -8.4 Reorder the terms: 55.1 = -8.4 + 4.2y + -3.2y Combine like terms: 4.2y + -3.2y = 1y 55.1 = -8.4 + 1y Solving 55.1 = -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. 55.1 + -1y = -8.4 + 1y + -1y Combine like terms: 1y + -1y = 0 55.1 + -1y = -8.4 + 0 55.1 + -1y = -8.4 Add '-55.1' to each side of the equation. 55.1 + -55.1 + -1y = -8.4 + -55.1 Combine like terms: 55.1 + -55.1 = 0.0 0.0 + -1y = -8.4 + -55.1 -1y = -8.4 + -55.1 Combine like terms: -8.4 + -55.1 = -63.5 -1y = -63.5 Divide each side by '-1'. y = 63.5 Simplifying y = 63.5
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