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

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

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

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

Remove parenthesis around (6 + 2y)
6 + 2y = (3(y + -4))

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

Remove parenthesis around (-12 + 3y)
6 + 2y = -12 + 3y

Solving
6 + 2y = -12 + 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 + 2y + -3y = -12 + 3y + -3y

Combine like terms: 2y + -3y = -1y
6 + -1y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -1y = -12 + 0
6 + -1y = -12

Add '-6' to each side of the equation.
6 + -6 + -1y = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = -12 + -6
-1y = -12 + -6

Combine like terms: -12 + -6 = -18
-1y = -18

Divide each side by '-1'.
y = 18

Simplifying
y = 18