-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 = 21y
4 + 6y = 6 + 21y

Solving
4 + 6y = 6 + 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
4 + 6y + -21y = 6 + 21y + -21y

Combine like terms: 6y + -21y = -15y
4 + -15y = 6 + 21y + -21y

Combine like terms: 21y + -21y = 0
4 + -15y = 6 + 0
4 + -15y = 6

Add '-4' to each side of the equation.
4 + -4 + -15y = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -15y = 6 + -4
-15y = 6 + -4

Combine like terms: 6 + -4 = 2
-15y = 2

Divide each side by '-15'.
y = -0.1333333333

Simplifying
y = -0.1333333333