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

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

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

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

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

Multiply 2 * -4
6 + 6y + -8 = 7y

Reorder the terms:
6 + -8 + 6y = 7y

Combine like terms: 6 + -8 = -2
-2 + 6y = 7y

Solving
-2 + 6y = 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.
-2 + 6y + -7y = 7y + -7y

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

Combine like terms: 7y + -7y = 0
-2 + -1y = 0

Add '2' to each side of the equation.
-2 + 2 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2