y-(-1)=1(x-(-7))

Solution for y-(-1)=1(x-(-7)) equation:

Simplifying
y + -1(-1) = 1(x + -1(-7))

Multiply -1 * -1
y + 1 = 1(x + -1(-7))

Reorder the terms:
1 + y = 1(x + -1(-7))

Multiply -1 * -7
1 + y = 1(x + 7)

Reorder the terms:
1 + y = 1(7 + x)
1 + y = (7 * 1 + x * 1)
1 + y = (7 + 1x)

Solving
1 + y = 7 + 1x

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 = 7 + -1 + 1x

Combine like terms: 1 + -1 = 0
0 + y = 7 + -1 + 1x
y = 7 + -1 + 1x

Combine like terms: 7 + -1 = 6
y = 6 + 1x

Simplifying
y = 6 + 1x