3(y+2)=2(y+5)

Solution for 3(y+2)=2(y+5) equation:

Simplifying
3(y + 2) = 2(y + 5)

Reorder the terms:
3(2 + y) = 2(y + 5)
(2 * 3 + y * 3) = 2(y + 5)
(6 + 3y) = 2(y + 5)

Reorder the terms:
6 + 3y = 2(5 + y)
6 + 3y = (5 * 2 + y * 2)
6 + 3y = (10 + 2y)

Solving
6 + 3y = 10 + 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.
6 + 3y + -2y = 10 + 2y + -2y

Combine like terms: 3y + -2y = 1y
6 + 1y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + 1y = 10 + 0
6 + 1y = 10

Add '-6' to each side of the equation.
6 + -6 + 1y = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 10 + -6
1y = 10 + -6

Combine like terms: 10 + -6 = 4
1y = 4

Divide each side by '1'.
y = 4

Simplifying
y = 4