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Simplifying 1.7 + 6.9 = 6.1y + -5.1y + 0.9 Combine like terms: 1.7 + 6.9 = 8.6 8.6 = 6.1y + -5.1y + 0.9 Reorder the terms: 8.6 = 0.9 + 6.1y + -5.1y Combine like terms: 6.1y + -5.1y = 1y 8.6 = 0.9 + 1y Solving 8.6 = 0.9 + 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. 8.6 + -1y = 0.9 + 1y + -1y Combine like terms: 1y + -1y = 0 8.6 + -1y = 0.9 + 0 8.6 + -1y = 0.9 Add '-8.6' to each side of the equation. 8.6 + -8.6 + -1y = 0.9 + -8.6 Combine like terms: 8.6 + -8.6 = 0.0 0.0 + -1y = 0.9 + -8.6 -1y = 0.9 + -8.6 Combine like terms: 0.9 + -8.6 = -7.7 -1y = -7.7 Divide each side by '-1'. y = 7.7 Simplifying y = 7.7
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