(2y+6)=3(4-7y)+4

Solution for (2y+6)=3(4-7y)+4 equation:

Simplifying
(2y + 6) = 3(4 + -7y) + 4

Reorder the terms:
(6 + 2y) = 3(4 + -7y) + 4

Remove parenthesis around (6 + 2y)
6 + 2y = 3(4 + -7y) + 4
6 + 2y = (4 * 3 + -7y * 3) + 4
6 + 2y = (12 + -21y) + 4

Reorder the terms:
6 + 2y = 12 + 4 + -21y

Combine like terms: 12 + 4 = 16
6 + 2y = 16 + -21y

Solving
6 + 2y = 16 + -21y

Solving for variable 'y'.

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

Add '21y' to each side of the equation.
6 + 2y + 21y = 16 + -21y + 21y

Combine like terms: 2y + 21y = 23y
6 + 23y = 16 + -21y + 21y

Combine like terms: -21y + 21y = 0
6 + 23y = 16 + 0
6 + 23y = 16

Add '-6' to each side of the equation.
6 + -6 + 23y = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 23y = 16 + -6
23y = 16 + -6

Combine like terms: 16 + -6 = 10
23y = 10

Divide each side by '23'.
y = 0.4347826087

Simplifying
y = 0.4347826087