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

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


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

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

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

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

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

Reorder the terms for easier multiplication:
10 + y = 4x(-40 + 2y)
10 + y = (-40 * 4x + 2y * 4x)
10 + y = (-160x + 8xy)

Solving
10 + y = -160x + 8xy

Solving for variable 'y'.

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

Add '-8xy' to each side of the equation.
10 + -8xy + y = -160x + 8xy + -8xy

Combine like terms: 8xy + -8xy = 0
10 + -8xy + y = -160x + 0
10 + -8xy + y = -160x

Add '-10' to each side of the equation.
10 + -8xy + -10 + y = -10 + -160x

Reorder the terms:
10 + -10 + -8xy + y = -10 + -160x

Combine like terms: 10 + -10 = 0
0 + -8xy + y = -10 + -160x
-8xy + y = -10 + -160x

Reorder the terms:
10 + 160x + -8xy + y = -10 + -160x + 10 + 160x

Reorder the terms:
10 + 160x + -8xy + y = -10 + 10 + -160x + 160x

Combine like terms: -10 + 10 = 0
10 + 160x + -8xy + y = 0 + -160x + 160x
10 + 160x + -8xy + y = -160x + 160x

Combine like terms: -160x + 160x = 0
10 + 160x + -8xy + y = 0

The solution to this equation could not be determined.

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