-2(y-4y)+6=2(2y-y)+3+7y

Solution for -2(y-4y)+6=2(2y-y)+3+7y equation:

Simplifying
-2(y + -4y) + 6 = 2(2y + -1y) + 3 + 7y

Combine like terms: y + -4y = -3y
-2(-3y) + 6 = 2(2y + -1y) + 3 + 7y

Remove parenthesis around (-3y)
-2 * -3y + 6 = 2(2y + -1y) + 3 + 7y

Multiply -2 * -3
6y + 6 = 2(2y + -1y) + 3 + 7y

Reorder the terms:
6 + 6y = 2(2y + -1y) + 3 + 7y

Combine like terms: 2y + -1y = 1y
6 + 6y = 2(1y) + 3 + 7y

Remove parenthesis around (1y)
6 + 6y = 2 * 1y + 3 + 7y

Multiply 2 * 1
6 + 6y = 2y + 3 + 7y

Reorder the terms:
6 + 6y = 3 + 2y + 7y

Combine like terms: 2y + 7y = 9y
6 + 6y = 3 + 9y

Solving
6 + 6y = 3 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
6 + 6y + -9y = 3 + 9y + -9y

Combine like terms: 6y + -9y = -3y
6 + -3y = 3 + 9y + -9y

Combine like terms: 9y + -9y = 0
6 + -3y = 3 + 0
6 + -3y = 3

Add '-6' to each side of the equation.
6 + -6 + -3y = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -3y = 3 + -6
-3y = 3 + -6

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

Divide each side by '-3'.
y = 1

Simplifying
y = 1