3(2y+1)=5(y+2)

Solution for 3(2y+1)=5(y+2) equation:

Simplifying
3(2y + 1) = 5(y + 2)

Reorder the terms:
3(1 + 2y) = 5(y + 2)
(1 * 3 + 2y * 3) = 5(y + 2)
(3 + 6y) = 5(y + 2)

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

Solving
3 + 6y = 10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
3 + 6y + -5y = 10 + 5y + -5y

Combine like terms: 6y + -5y = 1y
3 + 1y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
3 + 1y = 10 + 0
3 + 1y = 10

Add '-3' to each side of the equation.
3 + -3 + 1y = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 10 + -3
1y = 10 + -3

Combine like terms: 10 + -3 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7