6=3(y-2)-5y

Solution for 6=3(y-2)-5y equation:

Simplifying
6 = 3(y + -2) + -5y

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

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

Solving
6 = -6 + -2y

Solving for variable 'y'.

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

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

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

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

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

Combine like terms: -6 + -6 = -12
2y = -12

Divide each side by '2'.
y = -6

Simplifying
y = -6