5-(4y+1)=(6-2y)-3

Solution for 5-(4y+1)=(6-2y)-3 equation:

Simplifying
5 + -1(4y + 1) = (6 + -2y) + -3

Reorder the terms:
5 + -1(1 + 4y) = (6 + -2y) + -3
5 + (1 * -1 + 4y * -1) = (6 + -2y) + -3
5 + (-1 + -4y) = (6 + -2y) + -3

Combine like terms: 5 + -1 = 4
4 + -4y = (6 + -2y) + -3

Remove parenthesis around (6 + -2y)
4 + -4y = 6 + -2y + -3

Reorder the terms:
4 + -4y = 6 + -3 + -2y

Combine like terms: 6 + -3 = 3
4 + -4y = 3 + -2y

Solving
4 + -4y = 3 + -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.
4 + -4y + 2y = 3 + -2y + 2y

Combine like terms: -4y + 2y = -2y
4 + -2y = 3 + -2y + 2y

Combine like terms: -2y + 2y = 0
4 + -2y = 3 + 0
4 + -2y = 3

Add '-4' to each side of the equation.
4 + -4 + -2y = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -2y = 3 + -4
-2y = 3 + -4

Combine like terms: 3 + -4 = -1
-2y = -1

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5