-4(5Y-6)+2(3Y+9)=

Solution for -4(5Y-6)+2(3Y+9)= equation:

Simplifying
-4(5Y + -6) + 2(3Y + 9) = 0

Reorder the terms:
-4(-6 + 5Y) + 2(3Y + 9) = 0
(-6 * -4 + 5Y * -4) + 2(3Y + 9) = 0
(24 + -20Y) + 2(3Y + 9) = 0

Reorder the terms:
24 + -20Y + 2(9 + 3Y) = 0
24 + -20Y + (9 * 2 + 3Y * 2) = 0
24 + -20Y + (18 + 6Y) = 0

Reorder the terms:
24 + 18 + -20Y + 6Y = 0

Combine like terms: 24 + 18 = 42
42 + -20Y + 6Y = 0

Combine like terms: -20Y + 6Y = -14Y
42 + -14Y = 0

Solving
42 + -14Y = 0

Solving for variable 'Y'.

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

Add '-42' to each side of the equation.
42 + -42 + -14Y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -14Y = 0 + -42
-14Y = 0 + -42

Combine like terms: 0 + -42 = -42
-14Y = -42

Divide each side by '-14'.
Y = 3

Simplifying
Y = 3