-3(y-3y)+4=-4(3y-y)+6+13y

Solution for -3(y-3y)+4=-4(3y-y)+6+13y equation:

Simplifying
-3(y + -3y) + 4 = -4(3y + -1y) + 6 + 13y

Combine like terms: y + -3y = -2y
-3(-2y) + 4 = -4(3y + -1y) + 6 + 13y

Remove parenthesis around (-2y)
-3 * -2y + 4 = -4(3y + -1y) + 6 + 13y

Multiply -3 * -2
6y + 4 = -4(3y + -1y) + 6 + 13y

Reorder the terms:
4 + 6y = -4(3y + -1y) + 6 + 13y

Combine like terms: 3y + -1y = 2y
4 + 6y = -4(2y) + 6 + 13y

Remove parenthesis around (2y)
4 + 6y = -4 * 2y + 6 + 13y

Multiply -4 * 2
4 + 6y = -8y + 6 + 13y

Reorder the terms:
4 + 6y = 6 + -8y + 13y

Combine like terms: -8y + 13y = 5y
4 + 6y = 6 + 5y

Solving
4 + 6y = 6 + 5y

Solving for variable 'y'.

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

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

Combine like terms: 6y + -5y = 1y
4 + 1y = 6 + 5y + -5y

Combine like terms: 5y + -5y = 0
4 + 1y = 6 + 0
4 + 1y = 6

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

Combine like terms: 4 + -4 = 0
0 + 1y = 6 + -4
1y = 6 + -4

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

Divide each side by '1'.
y = 2

Simplifying
y = 2