6(1+y)=5(2+y)

Solution for 6(1+y)=5(2+y) equation:

Simplifying
6(1 + y) = 5(2 + y)
(1 * 6 + y * 6) = 5(2 + y)
(6 + 6y) = 5(2 + y)
6 + 6y = (2 * 5 + y * 5)
6 + 6y = (10 + 5y)

Solving
6 + 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.
6 + 6y + -5y = 10 + 5y + -5y

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

Combine like terms: 5y + -5y = 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