y+6=2(y+2)

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

Simplifying
y + 6 = 2(y + 2)

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

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

Solving
6 + y = 4 + 2y

Solving for variable 'y'.

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

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

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

Combine like terms: 2y + -2y = 0
6 + -1y = 4 + 0
6 + -1y = 4

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

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2