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

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

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

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
10 + y + -2y = -40 + (4x) + 2y + -2y

Combine like terms: y + -2y = -1y
10 + -1y = -40 + (4x) + 2y + -2y

Combine like terms: 2y + -2y = 0
10 + -1y = -40 + (4x) + 0
10 + -1y = -40 + (4x)

Add '-10' to each side of the equation.
10 + -10 + -1y = -40 + -10 + (4x)

Combine like terms: 10 + -10 = 0
0 + -1y = -40 + -10 + (4x)
-1y = -40 + -10 + (4x)

Combine like terms: -40 + -10 = -50
-1y = -50 + (4x)

Divide each side by '-1'.
y = 50 + (-4x)

Simplifying
y = 50 + (-4x)

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