2y-1+3(2y+1)=-4(y+4)

Solution for 2y-1+3(2y+1)=-4(y+4) equation:

Simplifying
2y + -1 + 3(2y + 1) = -4(y + 4)

Reorder the terms:
2y + -1 + 3(1 + 2y) = -4(y + 4)
2y + -1 + (1 * 3 + 2y * 3) = -4(y + 4)
2y + -1 + (3 + 6y) = -4(y + 4)

Reorder the terms:
-1 + 3 + 2y + 6y = -4(y + 4)

Combine like terms: -1 + 3 = 2
2 + 2y + 6y = -4(y + 4)

Combine like terms: 2y + 6y = 8y
2 + 8y = -4(y + 4)

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

Solving
2 + 8y = -16 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
2 + 8y + 4y = -16 + -4y + 4y

Combine like terms: 8y + 4y = 12y
2 + 12y = -16 + -4y + 4y

Combine like terms: -4y + 4y = 0
2 + 12y = -16 + 0
2 + 12y = -16

Add '-2' to each side of the equation.
2 + -2 + 12y = -16 + -2

Combine like terms: 2 + -2 = 0
0 + 12y = -16 + -2
12y = -16 + -2

Combine like terms: -16 + -2 = -18
12y = -18

Divide each side by '12'.
y = -1.5

Simplifying
y = -1.5