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Simplifying -5.2 + -5y + -7.9 + -2y = -6y + 11.7 Reorder the terms: -5.2 + -7.9 + -5y + -2y = -6y + 11.7 Combine like terms: -5.2 + -7.9 = -13.1 -13.1 + -5y + -2y = -6y + 11.7 Combine like terms: -5y + -2y = -7y -13.1 + -7y = -6y + 11.7 Reorder the terms: -13.1 + -7y = 11.7 + -6y Solving -13.1 + -7y = 11.7 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -13.1 + -7y + 6y = 11.7 + -6y + 6y Combine like terms: -7y + 6y = -1y -13.1 + -1y = 11.7 + -6y + 6y Combine like terms: -6y + 6y = 0 -13.1 + -1y = 11.7 + 0 -13.1 + -1y = 11.7 Add '13.1' to each side of the equation. -13.1 + 13.1 + -1y = 11.7 + 13.1 Combine like terms: -13.1 + 13.1 = 0.0 0.0 + -1y = 11.7 + 13.1 -1y = 11.7 + 13.1 Combine like terms: 11.7 + 13.1 = 24.8 -1y = 24.8 Divide each side by '-1'. y = -24.8 Simplifying y = -24.8
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