-(3y-2)-7y+1=3(-2y+4)+5y

Solution for -(3y-2)-7y+1=3(-2y+4)+5y equation:

Simplifying
-1(3y + -2) + -7y + 1 = 3(-2y + 4) + 5y

Reorder the terms:
-1(-2 + 3y) + -7y + 1 = 3(-2y + 4) + 5y
(-2 * -1 + 3y * -1) + -7y + 1 = 3(-2y + 4) + 5y
(2 + -3y) + -7y + 1 = 3(-2y + 4) + 5y

Reorder the terms:
2 + 1 + -3y + -7y = 3(-2y + 4) + 5y

Combine like terms: 2 + 1 = 3
3 + -3y + -7y = 3(-2y + 4) + 5y

Combine like terms: -3y + -7y = -10y
3 + -10y = 3(-2y + 4) + 5y

Reorder the terms:
3 + -10y = 3(4 + -2y) + 5y
3 + -10y = (4 * 3 + -2y * 3) + 5y
3 + -10y = (12 + -6y) + 5y

Combine like terms: -6y + 5y = -1y
3 + -10y = 12 + -1y

Solving
3 + -10y = 12 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
3 + -10y + y = 12 + -1y + y

Combine like terms: -10y + y = -9y
3 + -9y = 12 + -1y + y

Combine like terms: -1y + y = 0
3 + -9y = 12 + 0
3 + -9y = 12

Add '-3' to each side of the equation.
3 + -3 + -9y = 12 + -3

Combine like terms: 3 + -3 = 0
0 + -9y = 12 + -3
-9y = 12 + -3

Combine like terms: 12 + -3 = 9
-9y = 9

Divide each side by '-9'.
y = -1

Simplifying
y = -1