6[13-2(4-y)-5y]=23y+2(3-7y)

Solution for 6[13-2(4-y)-5y]=23y+2(3-7y) equation:

Simplifying
6[13 + -2(4 + -1y) + -5y] = 23y + 2(3 + -7y)
6[13 + (4 * -2 + -1y * -2) + -5y] = 23y + 2(3 + -7y)
6[13 + (-8 + 2y) + -5y] = 23y + 2(3 + -7y)

Combine like terms: 13 + -8 = 5
6[5 + 2y + -5y] = 23y + 2(3 + -7y)

Combine like terms: 2y + -5y = -3y
6[5 + -3y] = 23y + 2(3 + -7y)
[5 * 6 + -3y * 6] = 23y + 2(3 + -7y)
[30 + -18y] = 23y + 2(3 + -7y)
30 + -18y = 23y + (3 * 2 + -7y * 2)
30 + -18y = 23y + (6 + -14y)

Reorder the terms:
30 + -18y = 6 + 23y + -14y

Combine like terms: 23y + -14y = 9y
30 + -18y = 6 + 9y

Solving
30 + -18y = 6 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
30 + -18y + -9y = 6 + 9y + -9y

Combine like terms: -18y + -9y = -27y
30 + -27y = 6 + 9y + -9y

Combine like terms: 9y + -9y = 0
30 + -27y = 6 + 0
30 + -27y = 6

Add '-30' to each side of the equation.
30 + -30 + -27y = 6 + -30

Combine like terms: 30 + -30 = 0
0 + -27y = 6 + -30
-27y = 6 + -30

Combine like terms: 6 + -30 = -24
-27y = -24

Divide each side by '-27'.
y = 0.8888888889

Simplifying
y = 0.8888888889