-3(5y-8)+2(4y+9)=

Solution for -3(5y-8)+2(4y+9)= equation:

Simplifying
-3(5y + -8) + 2(4y + 9) = 0

Reorder the terms:
-3(-8 + 5y) + 2(4y + 9) = 0
(-8 * -3 + 5y * -3) + 2(4y + 9) = 0
(24 + -15y) + 2(4y + 9) = 0

Reorder the terms:
24 + -15y + 2(9 + 4y) = 0
24 + -15y + (9 * 2 + 4y * 2) = 0
24 + -15y + (18 + 8y) = 0

Reorder the terms:
24 + 18 + -15y + 8y = 0

Combine like terms: 24 + 18 = 42
42 + -15y + 8y = 0

Combine like terms: -15y + 8y = -7y
42 + -7y = 0

Solving
42 + -7y = 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 + -7y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -7y = 0 + -42
-7y = 0 + -42

Combine like terms: 0 + -42 = -42
-7y = -42

Divide each side by '-7'.
y = 6

Simplifying
y = 6