3(y-1)=5(y-1)

Solution for 3(y-1)=5(y-1) equation:

Simplifying
3(y + -1) = 5(y + -1)

Reorder the terms:
3(-1 + y) = 5(y + -1)
(-1 * 3 + y * 3) = 5(y + -1)
(-3 + 3y) = 5(y + -1)

Reorder the terms:
-3 + 3y = 5(-1 + y)
-3 + 3y = (-1 * 5 + y * 5)
-3 + 3y = (-5 + 5y)

Solving
-3 + 3y = -5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-3 + 3y + -5y = -5 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-3 + -2y = -5 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + -2y = -5 + 0
-3 + -2y = -5

Add '3' to each side of the equation.
-3 + 3 + -2y = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = -5 + 3
-2y = -5 + 3

Combine like terms: -5 + 3 = -2
-2y = -2

Divide each side by '-2'.
y = 1

Simplifying
y = 1