-4(y+1)+4w=3(2w-1)+8

Solution for -4(y+1)+4w=3(2w-1)+8 equation:

Simplifying
-4(y + 1) + 4w = 3(2w + -1) + 8

Reorder the terms:
-4(1 + y) + 4w = 3(2w + -1) + 8
(1 * -4 + y * -4) + 4w = 3(2w + -1) + 8
(-4 + -4y) + 4w = 3(2w + -1) + 8

Reorder the terms:
-4 + 4w + -4y = 3(2w + -1) + 8

Reorder the terms:
-4 + 4w + -4y = 3(-1 + 2w) + 8
-4 + 4w + -4y = (-1 * 3 + 2w * 3) + 8
-4 + 4w + -4y = (-3 + 6w) + 8

Reorder the terms:
-4 + 4w + -4y = -3 + 8 + 6w

Combine like terms: -3 + 8 = 5
-4 + 4w + -4y = 5 + 6w

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

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-4 + 4w + -6w + -4y = 5 + 6w + -6w

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

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

Add '4' to each side of the equation.
-4 + -2w + 4 + -4y = 5 + 4

Reorder the terms:
-4 + 4 + -2w + -4y = 5 + 4

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

Combine like terms: 5 + 4 = 9
-2w + -4y = 9

Add '4y' to each side of the equation.
-2w + -4y + 4y = 9 + 4y

Combine like terms: -4y + 4y = 0
-2w + 0 = 9 + 4y
-2w = 9 + 4y

Divide each side by '-2'.
w = -4.5 + -2y

Simplifying
w = -4.5 + -2y