3(y+2)+8y=15-4(y+6)

Solution for 3(y+2)+8y=15-4(y+6) equation:

Simplifying
3(y + 2) + 8y = 15 + -4(y + 6)

Reorder the terms:
3(2 + y) + 8y = 15 + -4(y + 6)
(2 * 3 + y * 3) + 8y = 15 + -4(y + 6)
(6 + 3y) + 8y = 15 + -4(y + 6)

Combine like terms: 3y + 8y = 11y
6 + 11y = 15 + -4(y + 6)

Reorder the terms:
6 + 11y = 15 + -4(6 + y)
6 + 11y = 15 + (6 * -4 + y * -4)
6 + 11y = 15 + (-24 + -4y)

Combine like terms: 15 + -24 = -9
6 + 11y = -9 + -4y

Solving
6 + 11y = -9 + -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.
6 + 11y + 4y = -9 + -4y + 4y

Combine like terms: 11y + 4y = 15y
6 + 15y = -9 + -4y + 4y

Combine like terms: -4y + 4y = 0
6 + 15y = -9 + 0
6 + 15y = -9

Add '-6' to each side of the equation.
6 + -6 + 15y = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 15y = -9 + -6
15y = -9 + -6

Combine like terms: -9 + -6 = -15
15y = -15

Divide each side by '15'.
y = -1

Simplifying
y = -1