3y-(9y+6)=8y+6y(3-2)

Solution for 3y-(9y+6)=8y+6y(3-2) equation:

Simplifying
3y + -1(9y + 6) = 8y + 6y(3 + -2)

Reorder the terms:
3y + -1(6 + 9y) = 8y + 6y(3 + -2)
3y + (6 * -1 + 9y * -1) = 8y + 6y(3 + -2)
3y + (-6 + -9y) = 8y + 6y(3 + -2)

Reorder the terms:
-6 + 3y + -9y = 8y + 6y(3 + -2)

Combine like terms: 3y + -9y = -6y
-6 + -6y = 8y + 6y(3 + -2)

Combine like terms: 3 + -2 = 1
-6 + -6y = 8y + 6y(1)

Reorder the terms for easier multiplication:
-6 + -6y = 8y + 6 * 1y

Multiply 6 * 1
-6 + -6y = 8y + 6y

Combine like terms: 8y + 6y = 14y
-6 + -6y = 14y

Solving
-6 + -6y = 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-6 + -6y + -14y = 14y + -14y

Combine like terms: -6y + -14y = -20y
-6 + -20y = 14y + -14y

Combine like terms: 14y + -14y = 0
-6 + -20y = 0

Add '6' to each side of the equation.
-6 + 6 + -20y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -20y = 0 + 6
-20y = 0 + 6

Combine like terms: 0 + 6 = 6
-20y = 6

Divide each side by '-20'.
y = -0.3

Simplifying
y = -0.3