4y+2=5y-6

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

Simplifying
4y + 2 = 5y + -6

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

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

Solving
2 + 4y = -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.
2 + 4y + -5y = -6 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
2 + -1y = -6 + 0
2 + -1y = -6

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

Combine like terms: 2 + -2 = 0
0 + -1y = -6 + -2
-1y = -6 + -2

Combine like terms: -6 + -2 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8