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Simplifying (Y + 6)(7y + 4x + -2) = 0 Reorder the terms: (6 + Y)(7y + 4x + -2) = 0 Reorder the terms: (6 + Y)(-2 + 4x + 7y) = 0 Multiply (6 + Y) * (-2 + 4x + 7y) (6(-2 + 4x + 7y) + Y(-2 + 4x + 7y)) = 0 ((-2 * 6 + 4x * 6 + 7y * 6) + Y(-2 + 4x + 7y)) = 0 ((-12 + 24x + 42y) + Y(-2 + 4x + 7y)) = 0 (-12 + 24x + 42y + (-2 * Y + 4x * Y + 7y * Y)) = 0 (-12 + 24x + 42y + (-2Y + 4xY + 7yY)) = 0 Reorder the terms: (-12 + -2Y + 24x + 4xY + 42y + 7yY) = 0 (-12 + -2Y + 24x + 4xY + 42y + 7yY) = 0 Solving -12 + -2Y + 24x + 4xY + 42y + 7yY = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -2Y + 24x + 4xY + 42y + 12 + 7yY = 0 + 12 Reorder the terms: -12 + 12 + -2Y + 24x + 4xY + 42y + 7yY = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2Y + 24x + 4xY + 42y + 7yY = 0 + 12 -2Y + 24x + 4xY + 42y + 7yY = 0 + 12 Combine like terms: 0 + 12 = 12 -2Y + 24x + 4xY + 42y + 7yY = 12 Add '-24x' to each side of the equation. -2Y + 24x + 4xY + 42y + -24x + 7yY = 12 + -24x Reorder the terms: -2Y + 24x + -24x + 4xY + 42y + 7yY = 12 + -24x Combine like terms: 24x + -24x = 0 -2Y + 0 + 4xY + 42y + 7yY = 12 + -24x -2Y + 4xY + 42y + 7yY = 12 + -24x Add '-42y' to each side of the equation. -2Y + 4xY + 42y + -42y + 7yY = 12 + -24x + -42y Combine like terms: 42y + -42y = 0 -2Y + 4xY + 0 + 7yY = 12 + -24x + -42y -2Y + 4xY + 7yY = 12 + -24x + -42y Reorder the terms: -12 + -2Y + 24x + 4xY + 42y + 7yY = 12 + -24x + -42y + -12 + 24x + 42y Reorder the terms: -12 + -2Y + 24x + 4xY + 42y + 7yY = 12 + -12 + -24x + 24x + -42y + 42y Combine like terms: 12 + -12 = 0 -12 + -2Y + 24x + 4xY + 42y + 7yY = 0 + -24x + 24x + -42y + 42y -12 + -2Y + 24x + 4xY + 42y + 7yY = -24x + 24x + -42y + 42y Combine like terms: -24x + 24x = 0 -12 + -2Y + 24x + 4xY + 42y + 7yY = 0 + -42y + 42y -12 + -2Y + 24x + 4xY + 42y + 7yY = -42y + 42y Combine like terms: -42y + 42y = 0 -12 + -2Y + 24x + 4xY + 42y + 7yY = 0 The solution to this equation could not be determined.
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