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Simplifying 6.5y + -5.5y + 6.9 = 6.1 + -6.9 Reorder the terms: 6.9 + 6.5y + -5.5y = 6.1 + -6.9 Combine like terms: 6.5y + -5.5y = 1y 6.9 + 1y = 6.1 + -6.9 Combine like terms: 6.1 + -6.9 = -0.8 6.9 + 1y = -0.8 Solving 6.9 + 1y = -0.8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6.9' to each side of the equation. 6.9 + -6.9 + 1y = -0.8 + -6.9 Combine like terms: 6.9 + -6.9 = 0.0 0.0 + 1y = -0.8 + -6.9 1y = -0.8 + -6.9 Combine like terms: -0.8 + -6.9 = -7.7 1y = -7.7 Divide each side by '1'. y = -7.7 Simplifying y = -7.7
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