2y-(4y-2)=6y+2(y-10)

Solution for 2y-(4y-2)=6y+2(y-10) equation:

Simplifying
2y + -1(4y + -2) = 6y + 2(y + -10)

Reorder the terms:
2y + -1(-2 + 4y) = 6y + 2(y + -10)
2y + (-2 * -1 + 4y * -1) = 6y + 2(y + -10)
2y + (2 + -4y) = 6y + 2(y + -10)

Reorder the terms:
2 + 2y + -4y = 6y + 2(y + -10)

Combine like terms: 2y + -4y = -2y
2 + -2y = 6y + 2(y + -10)

Reorder the terms:
2 + -2y = 6y + 2(-10 + y)
2 + -2y = 6y + (-10 * 2 + y * 2)
2 + -2y = 6y + (-20 + 2y)

Reorder the terms:
2 + -2y = -20 + 6y + 2y

Combine like terms: 6y + 2y = 8y
2 + -2y = -20 + 8y

Solving
2 + -2y = -20 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
2 + -2y + -8y = -20 + 8y + -8y

Combine like terms: -2y + -8y = -10y
2 + -10y = -20 + 8y + -8y

Combine like terms: 8y + -8y = 0
2 + -10y = -20 + 0
2 + -10y = -20

Add '-2' to each side of the equation.
2 + -2 + -10y = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -10y = -20 + -2
-10y = -20 + -2

Combine like terms: -20 + -2 = -22
-10y = -22

Divide each side by '-10'.
y = 2.2

Simplifying
y = 2.2