6y-(3y-6)=5y-4

Solution for 6y-(3y-6)=5y-4 equation:

Simplifying
6y + -1(3y + -6) = 5y + -4

Reorder the terms:
6y + -1(-6 + 3y) = 5y + -4
6y + (-6 * -1 + 3y * -1) = 5y + -4
6y + (6 + -3y) = 5y + -4

Reorder the terms:
6 + 6y + -3y = 5y + -4

Combine like terms: 6y + -3y = 3y
6 + 3y = 5y + -4

Reorder the terms:
6 + 3y = -4 + 5y

Solving
6 + 3y = -4 + 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 = -4 + 5y + -5y

Combine like terms: 3y + -5y = -2y
6 + -2y = -4 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -2y = -4 + 0
6 + -2y = -4

Add '-6' to each side of the equation.
6 + -6 + -2y = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = -4 + -6
-2y = -4 + -6

Combine like terms: -4 + -6 = -10
-2y = -10

Divide each side by '-2'.
y = 5

Simplifying
y = 5