6(y-1)=3(y+1)

Solution for 6(y-1)=3(y+1) equation:

Simplifying
6(y + -1) = 3(y + 1)

Reorder the terms:
6(-1 + y) = 3(y + 1)
(-1 * 6 + y * 6) = 3(y + 1)
(-6 + 6y) = 3(y + 1)

Reorder the terms:
-6 + 6y = 3(1 + y)
-6 + 6y = (1 * 3 + y * 3)
-6 + 6y = (3 + 3y)

Solving
-6 + 6y = 3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-6 + 6y + -3y = 3 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-6 + 3y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + 3y = 3 + 0
-6 + 3y = 3

Add '6' to each side of the equation.
-6 + 6 + 3y = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 3y = 3 + 6
3y = 3 + 6

Combine like terms: 3 + 6 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3