y-5=-1(x-1)

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


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

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

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

Solving
-5 + y = 1 + -1x

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y = 1 + 5 + -1x

Combine like terms: -5 + 5 = 0
0 + y = 1 + 5 + -1x
y = 1 + 5 + -1x

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

Simplifying
y = 6 + -1x

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