2(y+3)=5y-6

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

Simplifying
2(y + 3) = 5y + -6

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

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

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-3y = -12

Divide each side by '-3'.
y = 4

Simplifying
y = 4