3y+2(y+1)=12

Solution for 3y+2(y+1)=12 equation:

Simplifying
3y + 2(y + 1) = 12

Reorder the terms:
3y + 2(1 + y) = 12
3y + (1 * 2 + y * 2) = 12
3y + (2 + 2y) = 12

Reorder the terms:
2 + 3y + 2y = 12

Combine like terms: 3y + 2y = 5y
2 + 5y = 12

Solving
2 + 5y = 12

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 5y = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 5y = 12 + -2
5y = 12 + -2

Combine like terms: 12 + -2 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2