5y+6=4+3(y+6)

Solution for 5y+6=4+3(y+6) equation:

Simplifying
5y + 6 = 4 + 3(y + 6)

Reorder the terms:
6 + 5y = 4 + 3(y + 6)

Reorder the terms:
6 + 5y = 4 + 3(6 + y)
6 + 5y = 4 + (6 * 3 + y * 3)
6 + 5y = 4 + (18 + 3y)

Combine like terms: 4 + 18 = 22
6 + 5y = 22 + 3y

Solving
6 + 5y = 22 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
6 + 5y + -3y = 22 + 3y + -3y

Combine like terms: 5y + -3y = 2y
6 + 2y = 22 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + 2y = 22 + 0
6 + 2y = 22

Add '-6' to each side of the equation.
6 + -6 + 2y = 22 + -6

Combine like terms: 6 + -6 = 0
0 + 2y = 22 + -6
2y = 22 + -6

Combine like terms: 22 + -6 = 16
2y = 16

Divide each side by '2'.
y = 8

Simplifying
y = 8