2y+6=4(3+y)

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

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

Reorder the terms:
6 + 2y = 4(3 + y)
6 + 2y = (3 * 4 + y * 4)
6 + 2y = (12 + 4y)

Solving
6 + 2y = 12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + 2y + -4y = 12 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
6 + -2y = 12 + 0
6 + -2y = 12

Add '-6' to each side of the equation.
6 + -6 + -2y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = 12 + -6
-2y = 12 + -6

Combine like terms: 12 + -6 = 6
-2y = 6

Divide each side by '-2'.
y = -3

Simplifying
y = -3