2y+6=5y-4y

Solution for 2y+6=5y-4y equation:

Simplifying
2y + 6 = 5y + -4y

Reorder the terms:
6 + 2y = 5y + -4y

Combine like terms: 5y + -4y = 1y
6 + 2y = 1y

Solving
6 + 2y = 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
6 + 2y + -1y = 1y + -1y

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

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

Add '-6' to each side of the equation.
6 + -6 + 1y = 0 + -6

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

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

Divide each side by '1'.
y = -6

Simplifying
y = -6