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Simplifying (2y + 3)(x + -4) = 2xy + -8y + 3x + -12 Reorder the terms: (3 + 2y)(x + -4) = 2xy + -8y + 3x + -12 Reorder the terms: (3 + 2y)(-4 + x) = 2xy + -8y + 3x + -12 Multiply (3 + 2y) * (-4 + x) (3(-4 + x) + 2y * (-4 + x)) = 2xy + -8y + 3x + -12 ((-4 * 3 + x * 3) + 2y * (-4 + x)) = 2xy + -8y + 3x + -12 ((-12 + 3x) + 2y * (-4 + x)) = 2xy + -8y + 3x + -12 (-12 + 3x + (-4 * 2y + x * 2y)) = 2xy + -8y + 3x + -12 Reorder the terms: (-12 + 3x + (2xy + -8y)) = 2xy + -8y + 3x + -12 (-12 + 3x + (2xy + -8y)) = 2xy + -8y + 3x + -12 (-12 + 3x + 2xy + -8y) = 2xy + -8y + 3x + -12 Reorder the terms: -12 + 3x + 2xy + -8y = -12 + 3x + 2xy + -8y Add '12' to each side of the equation. -12 + 3x + 2xy + 12 + -8y = -12 + 3x + 2xy + 12 + -8y Reorder the terms: -12 + 12 + 3x + 2xy + -8y = -12 + 3x + 2xy + 12 + -8y Combine like terms: -12 + 12 = 0 0 + 3x + 2xy + -8y = -12 + 3x + 2xy + 12 + -8y 3x + 2xy + -8y = -12 + 3x + 2xy + 12 + -8y Reorder the terms: 3x + 2xy + -8y = -12 + 12 + 3x + 2xy + -8y Combine like terms: -12 + 12 = 0 3x + 2xy + -8y = 0 + 3x + 2xy + -8y 3x + 2xy + -8y = 3x + 2xy + -8y Add '-3x' to each side of the equation. 3x + 2xy + -3x + -8y = 3x + 2xy + -3x + -8y Reorder the terms: 3x + -3x + 2xy + -8y = 3x + 2xy + -3x + -8y Combine like terms: 3x + -3x = 0 0 + 2xy + -8y = 3x + 2xy + -3x + -8y 2xy + -8y = 3x + 2xy + -3x + -8y Reorder the terms: 2xy + -8y = 3x + -3x + 2xy + -8y Combine like terms: 3x + -3x = 0 2xy + -8y = 0 + 2xy + -8y 2xy + -8y = 2xy + -8y Add '-2xy' to each side of the equation. 2xy + -2xy + -8y = 2xy + -2xy + -8y Combine like terms: 2xy + -2xy = 0 0 + -8y = 2xy + -2xy + -8y -8y = 2xy + -2xy + -8y Combine like terms: 2xy + -2xy = 0 -8y = 0 + -8y -8y = -8y Add '8y' to each side of the equation. -8y + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 0 = -8y + 8y Combine like terms: -8y + 8y = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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