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

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

Simplifying
4y + -3 + 3(4y + 3) = -2(y + 5)

Reorder the terms:
4y + -3 + 3(3 + 4y) = -2(y + 5)
4y + -3 + (3 * 3 + 4y * 3) = -2(y + 5)
4y + -3 + (9 + 12y) = -2(y + 5)

Reorder the terms:
-3 + 9 + 4y + 12y = -2(y + 5)

Combine like terms: -3 + 9 = 6
6 + 4y + 12y = -2(y + 5)

Combine like terms: 4y + 12y = 16y
6 + 16y = -2(y + 5)

Reorder the terms:
6 + 16y = -2(5 + y)
6 + 16y = (5 * -2 + y * -2)
6 + 16y = (-10 + -2y)

Solving
6 + 16y = -10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
6 + 16y + 2y = -10 + -2y + 2y

Combine like terms: 16y + 2y = 18y
6 + 18y = -10 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + 18y = -10 + 0
6 + 18y = -10

Add '-6' to each side of the equation.
6 + -6 + 18y = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 18y = -10 + -6
18y = -10 + -6

Combine like terms: -10 + -6 = -16
18y = -16

Divide each side by '18'.
y = -0.8888888889

Simplifying
y = -0.8888888889