(k-1)=7(k-y)

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


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

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

Remove parenthesis around (-1 + k)
-1 + k = 7(k + -1y)
-1 + k = (k * 7 + -1y * 7)
-1 + k = (7k + -7y)

Solving
-1 + k = 7k + -7y

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
-1 + k + -7k = 7k + -7k + -7y

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

Combine like terms: 7k + -7k = 0
-1 + -6k = 0 + -7y
-1 + -6k = -7y

Add '1' to each side of the equation.
-1 + 1 + -6k = 1 + -7y

Combine like terms: -1 + 1 = 0
0 + -6k = 1 + -7y
-6k = 1 + -7y

Divide each side by '-6'.
k = -0.1666666667 + 1.166666667y

Simplifying
k = -0.1666666667 + 1.166666667y

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