y-(-6)=5(x-(-1))

Solution for y-(-6)=5(x-(-1)) equation:

Simplifying
y + -1(-6) = 5(x + -1(-1))

Multiply -1 * -6
y + 6 = 5(x + -1(-1))

Reorder the terms:
6 + y = 5(x + -1(-1))

Multiply -1 * -1
6 + y = 5(x + 1)

Reorder the terms:
6 + y = 5(1 + x)
6 + y = (1 * 5 + x * 5)
6 + y = (5 + 5x)

Solving
6 + y = 5 + 5x

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 = 5 + -6 + 5x

Combine like terms: 6 + -6 = 0
0 + y = 5 + -6 + 5x
y = 5 + -6 + 5x

Combine like terms: 5 + -6 = -1
y = -1 + 5x

Simplifying
y = -1 + 5x