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

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

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

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

Reorder the terms:
3 + 3y = 2(7 + y)
3 + 3y = (7 * 2 + y * 2)
3 + 3y = (14 + 2y)

Solving
3 + 3y = 14 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
3 + 3y + -2y = 14 + 2y + -2y

Combine like terms: 3y + -2y = 1y
3 + 1y = 14 + 2y + -2y

Combine like terms: 2y + -2y = 0
3 + 1y = 14 + 0
3 + 1y = 14

Add '-3' to each side of the equation.
3 + -3 + 1y = 14 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 14 + -3
1y = 14 + -3

Combine like terms: 14 + -3 = 11
1y = 11

Divide each side by '1'.
y = 11

Simplifying
y = 11