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

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

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

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

Combine like terms: -3y + -4y = -7y
6 + -7y = -2(2y + y + 3 + 1) + 3

Reorder the terms:
6 + -7y = -2(3 + 1 + 2y + y) + 3

Combine like terms: 3 + 1 = 4
6 + -7y = -2(4 + 2y + y) + 3

Combine like terms: 2y + y = 3y
6 + -7y = -2(4 + 3y) + 3
6 + -7y = (4 * -2 + 3y * -2) + 3
6 + -7y = (-8 + -6y) + 3

Reorder the terms:
6 + -7y = -8 + 3 + -6y

Combine like terms: -8 + 3 = -5
6 + -7y = -5 + -6y

Solving
6 + -7y = -5 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
6 + -7y + 6y = -5 + -6y + 6y

Combine like terms: -7y + 6y = -1y
6 + -1y = -5 + -6y + 6y

Combine like terms: -6y + 6y = 0
6 + -1y = -5 + 0
6 + -1y = -5

Add '-6' to each side of the equation.
6 + -6 + -1y = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = -5 + -6
-1y = -5 + -6

Combine like terms: -5 + -6 = -11
-1y = -11

Divide each side by '-1'.
y = 11

Simplifying
y = 11