3(y-2)=5(y)

Solution for 3(y-2)=5(y) equation:

Simplifying
3(y + -2) = 5(y)

Reorder the terms:
3(-2 + y) = 5(y)
(-2 * 3 + y * 3) = 5(y)
(-6 + 3y) = 5(y)

Solving
-6 + 3y = 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.
-6 + 3y + -5y = 5y + -5y

Combine like terms: 3y + -5y = -2y
-6 + -2y = 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + -2y = 0

Add '6' to each side of the equation.
-6 + 6 + -2y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 0 + 6
-2y = 0 + 6

Combine like terms: 0 + 6 = 6
-2y = 6

Divide each side by '-2'.
y = -3

Simplifying
y = -3