6(y-1)=-y-1+2y

Solution for 6(y-1)=-y-1+2y equation:

Simplifying
6(y + -1) = -1y + -1 + 2y

Reorder the terms:
6(-1 + y) = -1y + -1 + 2y
(-1 * 6 + y * 6) = -1y + -1 + 2y
(-6 + 6y) = -1y + -1 + 2y

Reorder the terms:
-6 + 6y = -1 + -1y + 2y

Combine like terms: -1y + 2y = 1y
-6 + 6y = -1 + 1y

Solving
-6 + 6y = -1 + 1y

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 + 1y + -1y

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

Combine like terms: 1y + -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