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Simplifying 4y + -7 + x + 27 = 8y + 20 + -5y Reorder the terms: -7 + 27 + x + 4y = 8y + 20 + -5y Combine like terms: -7 + 27 = 20 20 + x + 4y = 8y + 20 + -5y Reorder the terms: 20 + x + 4y = 20 + 8y + -5y Combine like terms: 8y + -5y = 3y 20 + x + 4y = 20 + 3y Add '-20' to each side of the equation. 20 + x + -20 + 4y = 20 + -20 + 3y Reorder the terms: 20 + -20 + x + 4y = 20 + -20 + 3y Combine like terms: 20 + -20 = 0 0 + x + 4y = 20 + -20 + 3y x + 4y = 20 + -20 + 3y Combine like terms: 20 + -20 = 0 x + 4y = 0 + 3y x + 4y = 3y Solving x + 4y = 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 3y + -4y Combine like terms: 4y + -4y = 0 x + 0 = 3y + -4y x = 3y + -4y Combine like terms: 3y + -4y = -1y x = -1y Simplifying x = -1y
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