2y+6=6(y+3)

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

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

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

Reorder the terms:
6 + 2y = 6(3 + y)
6 + 2y = (3 * 6 + y * 6)
6 + 2y = (18 + 6y)

Solving
6 + 2y = 18 + 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 + 2y + -6y = 18 + 6y + -6y

Combine like terms: 2y + -6y = -4y
6 + -4y = 18 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -4y = 18 + 0
6 + -4y = 18

Add '-6' to each side of the equation.
6 + -6 + -4y = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = 18 + -6
-4y = 18 + -6

Combine like terms: 18 + -6 = 12
-4y = 12

Divide each side by '-4'.
y = -3

Simplifying
y = -3