(y+4)=3(x+2)

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

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

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

Remove parenthesis around (4 + y)
4 + y = 3(x + 2)

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

Solving
4 + y = 6 + 3x

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + y = 6 + -4 + 3x

Combine like terms: 4 + -4 = 0
0 + y = 6 + -4 + 3x
y = 6 + -4 + 3x

Combine like terms: 6 + -4 = 2
y = 2 + 3x

Simplifying
y = 2 + 3x