-6y-8(8y+9)=-6+3(4-y)

Solution for -6y-8(8y+9)=-6+3(4-y) equation:

Simplifying
-6y + -8(8y + 9) = -6 + 3(4 + -1y)

Reorder the terms:
-6y + -8(9 + 8y) = -6 + 3(4 + -1y)
-6y + (9 * -8 + 8y * -8) = -6 + 3(4 + -1y)
-6y + (-72 + -64y) = -6 + 3(4 + -1y)

Reorder the terms:
-72 + -6y + -64y = -6 + 3(4 + -1y)

Combine like terms: -6y + -64y = -70y
-72 + -70y = -6 + 3(4 + -1y)
-72 + -70y = -6 + (4 * 3 + -1y * 3)
-72 + -70y = -6 + (12 + -3y)

Combine like terms: -6 + 12 = 6
-72 + -70y = 6 + -3y

Solving
-72 + -70y = 6 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-72 + -70y + 3y = 6 + -3y + 3y

Combine like terms: -70y + 3y = -67y
-72 + -67y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
-72 + -67y = 6 + 0
-72 + -67y = 6

Add '72' to each side of the equation.
-72 + 72 + -67y = 6 + 72

Combine like terms: -72 + 72 = 0
0 + -67y = 6 + 72
-67y = 6 + 72

Combine like terms: 6 + 72 = 78
-67y = 78

Divide each side by '-67'.
y = -1.164179104

Simplifying
y = -1.164179104