6(y+1x)+2(3-y)=7y

Solution for 6(y+1x)+2(3-y)=7y equation:

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

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

Reorder the terms:
6 + 6x + 6y + -2y = 7y

Combine like terms: 6y + -2y = 4y
6 + 6x + 4y = 7y

Solving
6 + 6x + 4y = 7y

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 6x + -6 + 4y = -6 + 7y

Reorder the terms:
6 + -6 + 6x + 4y = -6 + 7y

Combine like terms: 6 + -6 = 0
0 + 6x + 4y = -6 + 7y
6x + 4y = -6 + 7y

Add '-4y' to each side of the equation.
6x + 4y + -4y = -6 + 7y + -4y

Combine like terms: 4y + -4y = 0
6x + 0 = -6 + 7y + -4y
6x = -6 + 7y + -4y

Combine like terms: 7y + -4y = 3y
6x = -6 + 3y

Divide each side by '6'.
x = -1 + 0.5y

Simplifying
x = -1 + 0.5y