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

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

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

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

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

Combine like terms: 6 + 6 = 12
12 + 6y + -2y = 7y

Combine like terms: 6y + -2y = 4y
12 + 4y = 7y

Solving
12 + 4y = 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
12 + 4y + -7y = 7y + -7y

Combine like terms: 4y + -7y = -3y
12 + -3y = 7y + -7y

Combine like terms: 7y + -7y = 0
12 + -3y = 0

Add '-12' to each side of the equation.
12 + -12 + -3y = 0 + -12

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

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

Divide each side by '-3'.
y = 4

Simplifying
y = 4