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

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

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

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

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

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

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

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

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

Solving
6 + -3y = 5 + 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.
6 + -3y + -2y = 5 + 2y + -2y

Combine like terms: -3y + -2y = -5y
6 + -5y = 5 + 2y + -2y

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

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

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

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

Divide each side by '-5'.
y = 0.2

Simplifying
y = 0.2