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Simplifying 5.2y + 6 = 5.5y + 6.3 Reorder the terms: 6 + 5.2y = 5.5y + 6.3 Reorder the terms: 6 + 5.2y = 6.3 + 5.5y Solving 6 + 5.2y = 6.3 + 5.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.5y' to each side of the equation. 6 + 5.2y + -5.5y = 6.3 + 5.5y + -5.5y Combine like terms: 5.2y + -5.5y = -0.3y 6 + -0.3y = 6.3 + 5.5y + -5.5y Combine like terms: 5.5y + -5.5y = 0.0 6 + -0.3y = 6.3 + 0.0 6 + -0.3y = 6.3 Add '-6' to each side of the equation. 6 + -6 + -0.3y = 6.3 + -6 Combine like terms: 6 + -6 = 0 0 + -0.3y = 6.3 + -6 -0.3y = 6.3 + -6 Combine like terms: 6.3 + -6 = 0.3 -0.3y = 0.3 Divide each side by '-0.3'. y = -1 Simplifying y = -1
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