2(y+3)+5y=3(2y+8)+6

Solution for 2(y+3)+5y=3(2y+8)+6 equation:

Simplifying
2(y + 3) + 5y = 3(2y + 8) + 6

Reorder the terms:
2(3 + y) + 5y = 3(2y + 8) + 6
(3 * 2 + y * 2) + 5y = 3(2y + 8) + 6
(6 + 2y) + 5y = 3(2y + 8) + 6

Combine like terms: 2y + 5y = 7y
6 + 7y = 3(2y + 8) + 6

Reorder the terms:
6 + 7y = 3(8 + 2y) + 6
6 + 7y = (8 * 3 + 2y * 3) + 6
6 + 7y = (24 + 6y) + 6

Reorder the terms:
6 + 7y = 24 + 6 + 6y

Combine like terms: 24 + 6 = 30
6 + 7y = 30 + 6y

Solving
6 + 7y = 30 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
6 + 7y + -6y = 30 + 6y + -6y

Combine like terms: 7y + -6y = 1y
6 + 1y = 30 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + 1y = 30 + 0
6 + 1y = 30

Add '-6' to each side of the equation.
6 + -6 + 1y = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 30 + -6
1y = 30 + -6

Combine like terms: 30 + -6 = 24
1y = 24

Divide each side by '1'.
y = 24

Simplifying
y = 24