2(4y-3)=5(y+6)

Solution for 2(4y-3)=5(y+6) equation:

Simplifying
2(4y + -3) = 5(y + 6)

Reorder the terms:
2(-3 + 4y) = 5(y + 6)
(-3 * 2 + 4y * 2) = 5(y + 6)
(-6 + 8y) = 5(y + 6)

Reorder the terms:
-6 + 8y = 5(6 + y)
-6 + 8y = (6 * 5 + y * 5)
-6 + 8y = (30 + 5y)

Solving
-6 + 8y = 30 + 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 + 8y + -5y = 30 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-6 + 3y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 3y = 30 + 0
-6 + 3y = 30

Add '6' to each side of the equation.
-6 + 6 + 3y = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 3y = 30 + 6
3y = 30 + 6

Combine like terms: 30 + 6 = 36
3y = 36

Divide each side by '3'.
y = 12

Simplifying
y = 12