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Simplifying -1.5 + -6y + -2.7 + -1y = 6y + 1.3 Reorder the terms: -1.5 + -2.7 + -6y + -1y = 6y + 1.3 Combine like terms: -1.5 + -2.7 = -4.2 -4.2 + -6y + -1y = 6y + 1.3 Combine like terms: -6y + -1y = -7y -4.2 + -7y = 6y + 1.3 Reorder the terms: -4.2 + -7y = 1.3 + 6y Solving -4.2 + -7y = 1.3 + 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. -4.2 + -7y + -6y = 1.3 + 6y + -6y Combine like terms: -7y + -6y = -13y -4.2 + -13y = 1.3 + 6y + -6y Combine like terms: 6y + -6y = 0 -4.2 + -13y = 1.3 + 0 -4.2 + -13y = 1.3 Add '4.2' to each side of the equation. -4.2 + 4.2 + -13y = 1.3 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -13y = 1.3 + 4.2 -13y = 1.3 + 4.2 Combine like terms: 1.3 + 4.2 = 5.5 -13y = 5.5 Divide each side by '-13'. y = -0.4230769231 Simplifying y = -0.4230769231
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