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

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

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

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

Combine like terms: 2y + -3y = -1y
6 + -1y = 4(2 + -1y) + -6
6 + -1y = (2 * 4 + -1y * 4) + -6
6 + -1y = (8 + -4y) + -6

Reorder the terms:
6 + -1y = 8 + -6 + -4y

Combine like terms: 8 + -6 = 2
6 + -1y = 2 + -4y

Solving
6 + -1y = 2 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
6 + -1y + 4y = 2 + -4y + 4y

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

Combine like terms: -4y + 4y = 0
6 + 3y = 2 + 0
6 + 3y = 2

Add '-6' to each side of the equation.
6 + -6 + 3y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = 2 + -6
3y = 2 + -6

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

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333