-3(y-4y)+4=-5(2y-y)+6+13y

Solution for -3(y-4y)+4=-5(2y-y)+6+13y equation:

Simplifying
-3(y + -4y) + 4 = -5(2y + -1y) + 6 + 13y

Combine like terms: y + -4y = -3y
-3(-3y) + 4 = -5(2y + -1y) + 6 + 13y

Remove parenthesis around (-3y)
-3 * -3y + 4 = -5(2y + -1y) + 6 + 13y

Multiply -3 * -3
9y + 4 = -5(2y + -1y) + 6 + 13y

Reorder the terms:
4 + 9y = -5(2y + -1y) + 6 + 13y

Combine like terms: 2y + -1y = 1y
4 + 9y = -5(1y) + 6 + 13y

Remove parenthesis around (1y)
4 + 9y = -5 * 1y + 6 + 13y

Multiply -5 * 1
4 + 9y = -5y + 6 + 13y

Reorder the terms:
4 + 9y = 6 + -5y + 13y

Combine like terms: -5y + 13y = 8y
4 + 9y = 6 + 8y

Solving
4 + 9y = 6 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
4 + 9y + -8y = 6 + 8y + -8y

Combine like terms: 9y + -8y = 1y
4 + 1y = 6 + 8y + -8y

Combine like terms: 8y + -8y = 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