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

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

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

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

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

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

Reorder the terms:
6 + 3y = 5(-4 + 5y)
6 + 3y = (-4 * 5 + 5y * 5)
6 + 3y = (-20 + 25y)

Solving
6 + 3y = -20 + 25y

Solving for variable 'y'.

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

Add '-25y' to each side of the equation.
6 + 3y + -25y = -20 + 25y + -25y

Combine like terms: 3y + -25y = -22y
6 + -22y = -20 + 25y + -25y

Combine like terms: 25y + -25y = 0
6 + -22y = -20 + 0
6 + -22y = -20

Add '-6' to each side of the equation.
6 + -6 + -22y = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -22y = -20 + -6
-22y = -20 + -6

Combine like terms: -20 + -6 = -26
-22y = -26

Divide each side by '-22'.
y = 1.181818182

Simplifying
y = 1.181818182