5y+2(3y-1)=3y-(y+2)

Solution for 5y+2(3y-1)=3y-(y+2) equation:

Simplifying
5y + 2(3y + -1) = 3y + -1(y + 2)

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

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

Combine like terms: 5y + 6y = 11y
-2 + 11y = 3y + -1(y + 2)

Reorder the terms:
-2 + 11y = 3y + -1(2 + y)
-2 + 11y = 3y + (2 * -1 + y * -1)
-2 + 11y = 3y + (-2 + -1y)

Reorder the terms:
-2 + 11y = -2 + 3y + -1y

Combine like terms: 3y + -1y = 2y
-2 + 11y = -2 + 2y

Add '2' to each side of the equation.
-2 + 2 + 11y = -2 + 2 + 2y

Combine like terms: -2 + 2 = 0
0 + 11y = -2 + 2 + 2y
11y = -2 + 2 + 2y

Combine like terms: -2 + 2 = 0
11y = 0 + 2y
11y = 2y

Solving
11y = 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
11y + -2y = 2y + -2y

Combine like terms: 11y + -2y = 9y
9y = 2y + -2y

Combine like terms: 2y + -2y = 0
9y = 0

Divide each side by '9'.
y = 0

Simplifying
y = 0