6(y-1)=y-1

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

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

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

Reorder the terms:
-6 + 6y = -1 + y

Solving
-6 + 6y = -1 + y

Solving for variable 'y'.

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

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

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

Combine like terms: y + -1y = 0
-6 + 5y = -1 + 0
-6 + 5y = -1

Add '6' to each side of the equation.
-6 + 6 + 5y = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = -1 + 6
5y = -1 + 6

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

Divide each side by '5'.
y = 1

Simplifying
y = 1