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Simplifying 3x + 7y = 5y + 3x + -8 Reorder the terms: 3x + 7y = -8 + 3x + 5y Add '-3x' to each side of the equation. 3x + -3x + 7y = -8 + 3x + -3x + 5y Combine like terms: 3x + -3x = 0 0 + 7y = -8 + 3x + -3x + 5y 7y = -8 + 3x + -3x + 5y Combine like terms: 3x + -3x = 0 7y = -8 + 0 + 5y 7y = -8 + 5y Solving 7y = -8 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 7y + -5y = -8 + 5y + -5y Combine like terms: 7y + -5y = 2y 2y = -8 + 5y + -5y Combine like terms: 5y + -5y = 0 2y = -8 + 0 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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