(x-4)(3Y)=x+Y+5

Solution for (x-4)(3Y)=x+Y+5 equation:

Simplifying
(x + -4)(3Y) = x + Y + 5

Reorder the terms:
(-4 + x)(3Y) = x + Y + 5

Remove parenthesis around (3Y)
(-4 + x) * 3Y = x + Y + 5

Reorder the terms for easier multiplication:
3Y(-4 + x) = x + Y + 5
(-4 * 3Y + x * 3Y) = x + Y + 5
(-12Y + 3xY) = x + Y + 5

Reorder the terms:
-12Y + 3xY = 5 + Y + x

Solving
-12Y + 3xY = 5 + Y + x

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-1Y' to each side of the equation.
-12Y + -1Y + 3xY = 5 + Y + -1Y + x

Combine like terms: -12Y + -1Y = -13Y
-13Y + 3xY = 5 + Y + -1Y + x

Combine like terms: Y + -1Y = 0
-13Y + 3xY = 5 + 0 + x
-13Y + 3xY = 5 + x

Reorder the terms:
-5 + -13Y + -1x + 3xY = 5 + x + -5 + -1x

Reorder the terms:
-5 + -13Y + -1x + 3xY = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-5 + -13Y + -1x + 3xY = 0 + x + -1x
-5 + -13Y + -1x + 3xY = x + -1x

Combine like terms: x + -1x = 0
-5 + -13Y + -1x + 3xY = 0

The solution to this equation could not be determined.