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Simplifying 32x + 40 = y(4x + 5) Reorder the terms: 40 + 32x = y(4x + 5) Reorder the terms: 40 + 32x = y(5 + 4x) 40 + 32x = (5 * y + 4x * y) Reorder the terms: 40 + 32x = (4xy + 5y) 40 + 32x = (4xy + 5y) Solving 40 + 32x = 4xy + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4xy' to each side of the equation. 40 + 32x + -4xy = 4xy + -4xy + 5y Combine like terms: 4xy + -4xy = 0 40 + 32x + -4xy = 0 + 5y 40 + 32x + -4xy = 5y Add '-40' to each side of the equation. 40 + 32x + -40 + -4xy = -40 + 5y Reorder the terms: 40 + -40 + 32x + -4xy = -40 + 5y Combine like terms: 40 + -40 = 0 0 + 32x + -4xy = -40 + 5y 32x + -4xy = -40 + 5y Reorder the terms: 40 + 32x + -4xy + -5y = -40 + 5y + 40 + -5y Reorder the terms: 40 + 32x + -4xy + -5y = -40 + 40 + 5y + -5y Combine like terms: -40 + 40 = 0 40 + 32x + -4xy + -5y = 0 + 5y + -5y 40 + 32x + -4xy + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 40 + 32x + -4xy + -5y = 0 The solution to this equation could not be determined.
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