6y-3(3y-1)=5y

Solution for 6y-3(3y-1)=5y equation:

Simplifying
6y + -3(3y + -1) = 5y

Reorder the terms:
6y + -3(-1 + 3y) = 5y
6y + (-1 * -3 + 3y * -3) = 5y
6y + (3 + -9y) = 5y

Reorder the terms:
3 + 6y + -9y = 5y

Combine like terms: 6y + -9y = -3y
3 + -3y = 5y

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

Combine like terms: -3y + -5y = -8y
3 + -8y = 5y + -5y

Combine like terms: 5y + -5y = 0
3 + -8y = 0

Add '-3' to each side of the equation.
3 + -3 + -8y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8y = 0 + -3
-8y = 0 + -3

Combine like terms: 0 + -3 = -3
-8y = -3

Divide each side by '-8'.
y = 0.375

Simplifying
y = 0.375