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

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

Simplifying
12(5 + 2y) = 4y + -1(6 + -9y)
(5 * 12 + 2y * 12) = 4y + -1(6 + -9y)
(60 + 24y) = 4y + -1(6 + -9y)
60 + 24y = 4y + (6 * -1 + -9y * -1)
60 + 24y = 4y + (-6 + 9y)

Reorder the terms:
60 + 24y = -6 + 4y + 9y

Combine like terms: 4y + 9y = 13y
60 + 24y = -6 + 13y

Solving
60 + 24y = -6 + 13y

Solving for variable 'y'.

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

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

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

Combine like terms: 13y + -13y = 0
60 + 11y = -6 + 0
60 + 11y = -6

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

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

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

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

Simplifying
y = -6