5y+(86-x)=86+4y

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Solution for 5y+(86-x)=86+4y equation:


Simplifying
5y + (86 + -1x) = 86 + 4y

Remove parenthesis around (86 + -1x)
5y + 86 + -1x = 86 + 4y

Reorder the terms:
86 + -1x + 5y = 86 + 4y

Add '-86' to each side of the equation.
86 + -1x + -86 + 5y = 86 + -86 + 4y

Reorder the terms:
86 + -86 + -1x + 5y = 86 + -86 + 4y

Combine like terms: 86 + -86 = 0
0 + -1x + 5y = 86 + -86 + 4y
-1x + 5y = 86 + -86 + 4y

Combine like terms: 86 + -86 = 0
-1x + 5y = 0 + 4y
-1x + 5y = 4y

Solving
-1x + 5y = 4y

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
-1x + 5y + -5y = 4y + -5y

Combine like terms: 5y + -5y = 0
-1x + 0 = 4y + -5y
-1x = 4y + -5y

Combine like terms: 4y + -5y = -1y
-1x = -1y

Divide each side by '-1'.
x = y

Simplifying
x = y

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