2y+3=5y+-6

Solution for 2y+3=5y+-6 equation:

Simplifying
2y + 3 = 5y + -6

Reorder the terms:
3 + 2y = 5y + -6

Reorder the terms:
3 + 2y = -6 + 5y

Solving
3 + 2y = -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.
3 + 2y + -5y = -6 + 5y + -5y

Combine like terms: 2y + -5y = -3y
3 + -3y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 0
3 + -3y = -6 + 0
3 + -3y = -6

Add '-3' to each side of the equation.
3 + -3 + -3y = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -3y = -6 + -3
-3y = -6 + -3

Combine like terms: -6 + -3 = -9
-3y = -9

Divide each side by '-3'.
y = 3

Simplifying
y = 3