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Simplifying y(3x + -1) = 4(x + 2) + -1 Reorder the terms: y(-1 + 3x) = 4(x + 2) + -1 (-1 * y + 3x * y) = 4(x + 2) + -1 Reorder the terms: (3xy + -1y) = 4(x + 2) + -1 (3xy + -1y) = 4(x + 2) + -1 Reorder the terms: 3xy + -1y = 4(2 + x) + -1 3xy + -1y = (2 * 4 + x * 4) + -1 3xy + -1y = (8 + 4x) + -1 Reorder the terms: 3xy + -1y = 8 + -1 + 4x Combine like terms: 8 + -1 = 7 3xy + -1y = 7 + 4x Solving 3xy + -1y = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3xy + -4x + -1y = 7 + 4x + -4x Reorder the terms: -4x + 3xy + -1y = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -4x + 3xy + -1y = 7 + 0 -4x + 3xy + -1y = 7 Add 'y' to each side of the equation. -4x + 3xy + -1y + y = 7 + y Combine like terms: -1y + y = 0 -4x + 3xy + 0 = 7 + y -4x + 3xy = 7 + y Reorder the terms: -7 + -4x + 3xy + -1y = 7 + y + -7 + -1y Reorder the terms: -7 + -4x + 3xy + -1y = 7 + -7 + y + -1y Combine like terms: 7 + -7 = 0 -7 + -4x + 3xy + -1y = 0 + y + -1y -7 + -4x + 3xy + -1y = y + -1y Combine like terms: y + -1y = 0 -7 + -4x + 3xy + -1y = 0 The solution to this equation could not be determined.
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