3(2y-1)=5(y+2)-6

Solution for 3(2y-1)=5(y+2)-6 equation:

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

Reorder the terms:
3(-1 + 2y) = 5(y + 2) + -6
(-1 * 3 + 2y * 3) = 5(y + 2) + -6
(-3 + 6y) = 5(y + 2) + -6

Reorder the terms:
-3 + 6y = 5(2 + y) + -6
-3 + 6y = (2 * 5 + y * 5) + -6
-3 + 6y = (10 + 5y) + -6

Reorder the terms:
-3 + 6y = 10 + -6 + 5y

Combine like terms: 10 + -6 = 4
-3 + 6y = 4 + 5y

Solving
-3 + 6y = 4 + 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 + 6y + -5y = 4 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-3 + 1y = 4 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + 1y = 4 + 0
-3 + 1y = 4

Add '3' to each side of the equation.
-3 + 3 + 1y = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 1y = 4 + 3
1y = 4 + 3

Combine like terms: 4 + 3 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7