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Simplifying -4.5 + -5y + -3.7 + -3y = -7y + 4.6 Reorder the terms: -4.5 + -3.7 + -5y + -3y = -7y + 4.6 Combine like terms: -4.5 + -3.7 = -8.2 -8.2 + -5y + -3y = -7y + 4.6 Combine like terms: -5y + -3y = -8y -8.2 + -8y = -7y + 4.6 Reorder the terms: -8.2 + -8y = 4.6 + -7y Solving -8.2 + -8y = 4.6 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -8.2 + -8y + 7y = 4.6 + -7y + 7y Combine like terms: -8y + 7y = -1y -8.2 + -1y = 4.6 + -7y + 7y Combine like terms: -7y + 7y = 0 -8.2 + -1y = 4.6 + 0 -8.2 + -1y = 4.6 Add '8.2' to each side of the equation. -8.2 + 8.2 + -1y = 4.6 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + -1y = 4.6 + 8.2 -1y = 4.6 + 8.2 Combine like terms: 4.6 + 8.2 = 12.8 -1y = 12.8 Divide each side by '-1'. y = -12.8 Simplifying y = -12.8
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