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Simplifying -4.6 + -5y + -1.3 + -2y = -6y + -3.7 Reorder the terms: -4.6 + -1.3 + -5y + -2y = -6y + -3.7 Combine like terms: -4.6 + -1.3 = -5.9 -5.9 + -5y + -2y = -6y + -3.7 Combine like terms: -5y + -2y = -7y -5.9 + -7y = -6y + -3.7 Reorder the terms: -5.9 + -7y = -3.7 + -6y Solving -5.9 + -7y = -3.7 + -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. -5.9 + -7y + 6y = -3.7 + -6y + 6y Combine like terms: -7y + 6y = -1y -5.9 + -1y = -3.7 + -6y + 6y Combine like terms: -6y + 6y = 0 -5.9 + -1y = -3.7 + 0 -5.9 + -1y = -3.7 Add '5.9' to each side of the equation. -5.9 + 5.9 + -1y = -3.7 + 5.9 Combine like terms: -5.9 + 5.9 = 0.0 0.0 + -1y = -3.7 + 5.9 -1y = -3.7 + 5.9 Combine like terms: -3.7 + 5.9 = 2.2 -1y = 2.2 Divide each side by '-1'. y = -2.2 Simplifying y = -2.2
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