6(1-4y)-5y=-8(3+4y)

Solution for 6(1-4y)-5y=-8(3+4y) equation:

Simplifying
6(1 + -4y) + -5y = -8(3 + 4y)
(1 * 6 + -4y * 6) + -5y = -8(3 + 4y)
(6 + -24y) + -5y = -8(3 + 4y)

Combine like terms: -24y + -5y = -29y
6 + -29y = -8(3 + 4y)
6 + -29y = (3 * -8 + 4y * -8)
6 + -29y = (-24 + -32y)

Solving
6 + -29y = -24 + -32y

Solving for variable 'y'.

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

Add '32y' to each side of the equation.
6 + -29y + 32y = -24 + -32y + 32y

Combine like terms: -29y + 32y = 3y
6 + 3y = -24 + -32y + 32y

Combine like terms: -32y + 32y = 0
6 + 3y = -24 + 0
6 + 3y = -24

Add '-6' to each side of the equation.
6 + -6 + 3y = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = -24 + -6
3y = -24 + -6

Combine like terms: -24 + -6 = -30
3y = -30

Divide each side by '3'.
y = -10

Simplifying
y = -10