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

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

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

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

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

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

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

Solving
12 + 4y = 7

Solving for variable 'y'.

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

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

Combine like terms: 12 + -12 = 0
0 + 4y = 7 + -12
4y = 7 + -12

Combine like terms: 7 + -12 = -5
4y = -5

Divide each side by '4'.
y = -1.25

Simplifying
y = -1.25