y-6=3(x+6)

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

Simplifying
y + -6 = 3(x + 6)

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

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

Solving
-6 + y = 18 + 3x

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + y = 18 + 6 + 3x

Combine like terms: -6 + 6 = 0
0 + y = 18 + 6 + 3x
y = 18 + 6 + 3x

Combine like terms: 18 + 6 = 24
y = 24 + 3x

Simplifying
y = 24 + 3x