3(y+2)=7y

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

Simplifying
3(y + 2) = 7y

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

Solving
6 + 3y = 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.
6 + 3y + -7y = 7y + -7y

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

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

Add '-6' to each side of the equation.
6 + -6 + -4y = 0 + -6

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

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

Divide each side by '-4'.
y = 1.5

Simplifying
y = 1.5