4y-(6-9y)=12(5+2y)

Solution for 4y-(6-9y)=12(5+2y) equation:

Simplifying
4y + -1(6 + -9y) = 12(5 + 2y)
4y + (6 * -1 + -9y * -1) = 12(5 + 2y)
4y + (-6 + 9y) = 12(5 + 2y)

Reorder the terms:
-6 + 4y + 9y = 12(5 + 2y)

Combine like terms: 4y + 9y = 13y
-6 + 13y = 12(5 + 2y)
-6 + 13y = (5 * 12 + 2y * 12)
-6 + 13y = (60 + 24y)

Solving
-6 + 13y = 60 + 24y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-24y' to each side of the equation.
-6 + 13y + -24y = 60 + 24y + -24y

Combine like terms: 13y + -24y = -11y
-6 + -11y = 60 + 24y + -24y

Combine like terms: 24y + -24y = 0
-6 + -11y = 60 + 0
-6 + -11y = 60

Add '6' to each side of the equation.
-6 + 6 + -11y = 60 + 6

Combine like terms: -6 + 6 = 0
0 + -11y = 60 + 6
-11y = 60 + 6

Combine like terms: 60 + 6 = 66
-11y = 66

Divide each side by '-11'.
y = -6

Simplifying
y = -6