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Simplifying y(3x + 2) = x + 4 Reorder the terms: y(2 + 3x) = x + 4 (2 * y + 3x * y) = x + 4 Reorder the terms: (3xy + 2y) = x + 4 (3xy + 2y) = x + 4 Reorder the terms: 3xy + 2y = 4 + x Solving 3xy + 2y = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3xy + -1x + 2y = 4 + x + -1x Reorder the terms: -1x + 3xy + 2y = 4 + x + -1x Combine like terms: x + -1x = 0 -1x + 3xy + 2y = 4 + 0 -1x + 3xy + 2y = 4 Add '-2y' to each side of the equation. -1x + 3xy + 2y + -2y = 4 + -2y Combine like terms: 2y + -2y = 0 -1x + 3xy + 0 = 4 + -2y -1x + 3xy = 4 + -2y Reorder the terms: -4 + -1x + 3xy + 2y = 4 + -2y + -4 + 2y Reorder the terms: -4 + -1x + 3xy + 2y = 4 + -4 + -2y + 2y Combine like terms: 4 + -4 = 0 -4 + -1x + 3xy + 2y = 0 + -2y + 2y -4 + -1x + 3xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -4 + -1x + 3xy + 2y = 0 The solution to this equation could not be determined.
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