2y-3(y+1)=-(6y+3)+y

Solution for 2y-3(y+1)=-(6y+3)+y equation:

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

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

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

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

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

Combine like terms: -6y + y = -5y
-3 + -1y = -3 + -5y

Add '3' to each side of the equation.
-3 + 3 + -1y = -3 + 3 + -5y

Combine like terms: -3 + 3 = 0
0 + -1y = -3 + 3 + -5y
-1y = -3 + 3 + -5y

Combine like terms: -3 + 3 = 0
-1y = 0 + -5y
-1y = -5y

Solving
-1y = -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-1y + 5y = -5y + 5y

Combine like terms: -1y + 5y = 4y
4y = -5y + 5y

Combine like terms: -5y + 5y = 0
4y = 0

Divide each side by '4'.
y = 0

Simplifying
y = 0