(y-4)=5(x-1)

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Solution for (y-4)=5(x-1) equation:


Simplifying
(y + -4) = 5(x + -1)

Reorder the terms:
(-4 + y) = 5(x + -1)

Remove parenthesis around (-4 + y)
-4 + y = 5(x + -1)

Reorder the terms:
-4 + y = 5(-1 + x)
-4 + y = (-1 * 5 + x * 5)
-4 + y = (-5 + 5x)

Solving
-4 + y = -5 + 5x

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + y = -5 + 4 + 5x

Combine like terms: -4 + 4 = 0
0 + y = -5 + 4 + 5x
y = -5 + 4 + 5x

Combine like terms: -5 + 4 = -1
y = -1 + 5x

Simplifying
y = -1 + 5x

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