-4(6y-9)-y=-2(y-3)

Solution for -4(6y-9)-y=-2(y-3) equation:

Simplifying
-4(6y + -9) + -1y = -2(y + -3)

Reorder the terms:
-4(-9 + 6y) + -1y = -2(y + -3)
(-9 * -4 + 6y * -4) + -1y = -2(y + -3)
(36 + -24y) + -1y = -2(y + -3)

Combine like terms: -24y + -1y = -25y
36 + -25y = -2(y + -3)

Reorder the terms:
36 + -25y = -2(-3 + y)
36 + -25y = (-3 * -2 + y * -2)
36 + -25y = (6 + -2y)

Solving
36 + -25y = 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.
36 + -25y + 2y = 6 + -2y + 2y

Combine like terms: -25y + 2y = -23y
36 + -23y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
36 + -23y = 6 + 0
36 + -23y = 6

Add '-36' to each side of the equation.
36 + -36 + -23y = 6 + -36

Combine like terms: 36 + -36 = 0
0 + -23y = 6 + -36
-23y = 6 + -36

Combine like terms: 6 + -36 = -30
-23y = -30

Divide each side by '-23'.
y = 1.304347826

Simplifying
y = 1.304347826