y+6=6(x-7)

Solution for y+6=6(x-7) equation:

Simplifying
y + 6 = 6(x + -7)

Reorder the terms:
6 + y = 6(x + -7)

Reorder the terms:
6 + y = 6(-7 + x)
6 + y = (-7 * 6 + x * 6)
6 + y = (-42 + 6x)

Solving
6 + y = -42 + 6x

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 = -42 + -6 + 6x

Combine like terms: 6 + -6 = 0
0 + y = -42 + -6 + 6x
y = -42 + -6 + 6x

Combine like terms: -42 + -6 = -48
y = -48 + 6x

Simplifying
y = -48 + 6x