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

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

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

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

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

Solving
6 + 6y = 5 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
6 + 6y + -1y = 5 + 1y + -1y

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

Combine like terms: 1y + -1y = 0
6 + 5y = 5 + 0
6 + 5y = 5

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

Combine like terms: 6 + -6 = 0
0 + 5y = 5 + -6
5y = 5 + -6

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

Divide each side by '5'.
y = -0.2

Simplifying
y = -0.2