4y+6=-6(2y-7)+8y

Solution for 4y+6=-6(2y-7)+8y equation:

Simplifying
4y + 6 = -6(2y + -7) + 8y

Reorder the terms:
6 + 4y = -6(2y + -7) + 8y

Reorder the terms:
6 + 4y = -6(-7 + 2y) + 8y
6 + 4y = (-7 * -6 + 2y * -6) + 8y
6 + 4y = (42 + -12y) + 8y

Combine like terms: -12y + 8y = -4y
6 + 4y = 42 + -4y

Solving
6 + 4y = 42 + -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 + 4y + 4y = 42 + -4y + 4y

Combine like terms: 4y + 4y = 8y
6 + 8y = 42 + -4y + 4y

Combine like terms: -4y + 4y = 0
6 + 8y = 42 + 0
6 + 8y = 42

Add '-6' to each side of the equation.
6 + -6 + 8y = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 8y = 42 + -6
8y = 42 + -6

Combine like terms: 42 + -6 = 36
8y = 36

Divide each side by '8'.
y = 4.5

Simplifying
y = 4.5