y+6=4(x-8)

Solution for y+6=4(x-8) equation:

Simplifying
y + 6 = 4(x + -8)

Reorder the terms:
6 + y = 4(x + -8)

Reorder the terms:
6 + y = 4(-8 + x)
6 + y = (-8 * 4 + x * 4)
6 + y = (-32 + 4x)

Solving
6 + y = -32 + 4x

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 = -32 + -6 + 4x

Combine like terms: 6 + -6 = 0
0 + y = -32 + -6 + 4x
y = -32 + -6 + 4x

Combine like terms: -32 + -6 = -38
y = -38 + 4x

Simplifying
y = -38 + 4x