(4x)(y+10)=(2y-40)

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Solution for (4x)(y+10)=(2y-40) equation: 


Simplifying
(4x)(y + 10) = (2y + -40)

Remove parenthesis around (4x)
4x(y + 10) = (2y + -40)

Reorder the terms:
4x(10 + y) = (2y + -40)
(10 * 4x + y * 4x) = (2y + -40)
(40x + 4xy) = (2y + -40)

Reorder the terms:
40x + 4xy = (-40 + 2y)

Remove parenthesis around (-40 + 2y)
40x + 4xy = -40 + 2y

Solving
40x + 4xy = -40 + 2y

Solving for variable 'x'.

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

Reorder the terms:
40 + 40x + 4xy + -2y = -40 + 2y + 40 + -2y

Reorder the terms:
40 + 40x + 4xy + -2y = -40 + 40 + 2y + -2y

Combine like terms: -40 + 40 = 0
40 + 40x + 4xy + -2y = 0 + 2y + -2y
40 + 40x + 4xy + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
40 + 40x + 4xy + -2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 20x + 2xy + -1y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + 20x + 2xy + -1y)' equal to zero and attempt to solve:

Simplifying
20 + 20x + 2xy + -1y = 0

Solving
20 + 20x + 2xy + -1y = 0

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

Add '-20' to each side of the equation.
20 + 20x + 2xy + -20 + -1y = 0 + -20

Reorder the terms:
20 + -20 + 20x + 2xy + -1y = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 20x + 2xy + -1y = 0 + -20
20x + 2xy + -1y = 0 + -20

Combine like terms: 0 + -20 = -20
20x + 2xy + -1y = -20

Add 'y' to each side of the equation.
20x + 2xy + -1y + y = -20 + y

Combine like terms: -1y + y = 0
20x + 2xy + 0 = -20 + y
20x + 2xy = -20 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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