(x+6-5y)=(x-4+8)

Solution for (x+6-5y)=(x-4+8) equation:

Simplifying
(x + 6 + -5y) = (x + -4 + 8)

Reorder the terms:
(6 + x + -5y) = (x + -4 + 8)

Remove parenthesis around (6 + x + -5y)
6 + x + -5y = (x + -4 + 8)

Reorder the terms:
6 + x + -5y = (-4 + 8 + x)

Combine like terms: -4 + 8 = 4
6 + x + -5y = (4 + x)

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

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

Combine like terms: x + -1x = 0
6 + 0 + -5y = 4 + x + -1x
6 + -5y = 4 + x + -1x

Combine like terms: x + -1x = 0
6 + -5y = 4 + 0
6 + -5y = 4

Solving
6 + -5y = 4

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + -5y = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = 4 + -6
-5y = 4 + -6

Combine like terms: 4 + -6 = -2
-5y = -2

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4