-4(5y-9)-y=-3(y-2)

Solution for -4(5y-9)-y=-3(y-2) equation:

Simplifying
-4(5y + -9) + -1y = -3(y + -2)

Reorder the terms:
-4(-9 + 5y) + -1y = -3(y + -2)
(-9 * -4 + 5y * -4) + -1y = -3(y + -2)
(36 + -20y) + -1y = -3(y + -2)

Combine like terms: -20y + -1y = -21y
36 + -21y = -3(y + -2)

Reorder the terms:
36 + -21y = -3(-2 + y)
36 + -21y = (-2 * -3 + y * -3)
36 + -21y = (6 + -3y)

Solving
36 + -21y = 6 + -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 + -21y + 3y = 6 + -3y + 3y

Combine like terms: -21y + 3y = -18y
36 + -18y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
36 + -18y = 6 + 0
36 + -18y = 6

Add '-36' to each side of the equation.
36 + -36 + -18y = 6 + -36

Combine like terms: 36 + -36 = 0
0 + -18y = 6 + -36
-18y = 6 + -36

Combine like terms: 6 + -36 = -30
-18y = -30

Divide each side by '-18'.
y = 1.666666667

Simplifying
y = 1.666666667