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

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

Simplifying
2(4y + 8) + 3y = -3(2 + -3y)

Reorder the terms:
2(8 + 4y) + 3y = -3(2 + -3y)
(8 * 2 + 4y * 2) + 3y = -3(2 + -3y)
(16 + 8y) + 3y = -3(2 + -3y)

Combine like terms: 8y + 3y = 11y
16 + 11y = -3(2 + -3y)
16 + 11y = (2 * -3 + -3y * -3)
16 + 11y = (-6 + 9y)

Solving
16 + 11y = -6 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
16 + 11y + -9y = -6 + 9y + -9y

Combine like terms: 11y + -9y = 2y
16 + 2y = -6 + 9y + -9y

Combine like terms: 9y + -9y = 0
16 + 2y = -6 + 0
16 + 2y = -6

Add '-16' to each side of the equation.
16 + -16 + 2y = -6 + -16

Combine like terms: 16 + -16 = 0
0 + 2y = -6 + -16
2y = -6 + -16

Combine like terms: -6 + -16 = -22
2y = -22

Divide each side by '2'.
y = -11

Simplifying
y = -11