2(y+2)=y+6

Solution for 2(y+2)=y+6 equation:

Simplifying
2(y + 2) = y + 6

Reorder the terms:
2(2 + y) = y + 6
(2 * 2 + y * 2) = y + 6
(4 + 2y) = y + 6

Reorder the terms:
4 + 2y = 6 + y

Solving
4 + 2y = 6 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
4 + 2y + -1y = 6 + y + -1y

Combine like terms: 2y + -1y = 1y
4 + 1y = 6 + y + -1y

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

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

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

Combine like terms: 6 + -4 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2