-4(6y-9)-y=-3(y-3)

Solution for -4(6y-9)-y=-3(y-3) equation:

Simplifying
-4(6y + -9) + -1y = -3(y + -3)

Reorder the terms:
-4(-9 + 6y) + -1y = -3(y + -3)
(-9 * -4 + 6y * -4) + -1y = -3(y + -3)
(36 + -24y) + -1y = -3(y + -3)

Combine like terms: -24y + -1y = -25y
36 + -25y = -3(y + -3)

Reorder the terms:
36 + -25y = -3(-3 + y)
36 + -25y = (-3 * -3 + y * -3)
36 + -25y = (9 + -3y)

Solving
36 + -25y = 9 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
36 + -25y + 3y = 9 + -3y + 3y

Combine like terms: -25y + 3y = -22y
36 + -22y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
36 + -22y = 9 + 0
36 + -22y = 9

Add '-36' to each side of the equation.
36 + -36 + -22y = 9 + -36

Combine like terms: 36 + -36 = 0
0 + -22y = 9 + -36
-22y = 9 + -36

Combine like terms: 9 + -36 = -27
-22y = -27

Divide each side by '-22'.
y = 1.227272727

Simplifying
y = 1.227272727