3y-5y-(2y-6)=8y-2(9y-6)

Solution for 3y-5y-(2y-6)=8y-2(9y-6) equation:

Simplifying
3y + -5y + -1(2y + -6) = 8y + -2(9y + -6)

Reorder the terms:
3y + -5y + -1(-6 + 2y) = 8y + -2(9y + -6)
3y + -5y + (-6 * -1 + 2y * -1) = 8y + -2(9y + -6)
3y + -5y + (6 + -2y) = 8y + -2(9y + -6)

Reorder the terms:
6 + 3y + -5y + -2y = 8y + -2(9y + -6)

Combine like terms: 3y + -5y = -2y
6 + -2y + -2y = 8y + -2(9y + -6)

Combine like terms: -2y + -2y = -4y
6 + -4y = 8y + -2(9y + -6)

Reorder the terms:
6 + -4y = 8y + -2(-6 + 9y)
6 + -4y = 8y + (-6 * -2 + 9y * -2)
6 + -4y = 8y + (12 + -18y)

Reorder the terms:
6 + -4y = 12 + 8y + -18y

Combine like terms: 8y + -18y = -10y
6 + -4y = 12 + -10y

Solving
6 + -4y = 12 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
6 + -4y + 10y = 12 + -10y + 10y

Combine like terms: -4y + 10y = 6y
6 + 6y = 12 + -10y + 10y

Combine like terms: -10y + 10y = 0
6 + 6y = 12 + 0
6 + 6y = 12

Add '-6' to each side of the equation.
6 + -6 + 6y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 6y = 12 + -6
6y = 12 + -6

Combine like terms: 12 + -6 = 6
6y = 6

Divide each side by '6'.
y = 1

Simplifying
y = 1