y-1=3(x-(-6))

Solution for y-1=3(x-(-6)) equation:

Simplifying
y + -1 = 3(x + -1(-6))

Reorder the terms:
-1 + y = 3(x + -1(-6))

Multiply -1 * -6
-1 + y = 3(x + 6)

Reorder the terms:
-1 + y = 3(6 + x)
-1 + y = (6 * 3 + x * 3)
-1 + y = (18 + 3x)

Solving
-1 + y = 18 + 3x

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + y = 18 + 1 + 3x

Combine like terms: -1 + 1 = 0
0 + y = 18 + 1 + 3x
y = 18 + 1 + 3x

Combine like terms: 18 + 1 = 19
y = 19 + 3x

Simplifying
y = 19 + 3x