y+2(y-3)=6

Solution for y+2(y-3)=6 equation:

Simplifying
y + 2(y + -3) = 6

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

Reorder the terms:
-6 + y + 2y = 6

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

Solving
-6 + 3y = 6

Solving for variable 'y'.

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

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

Combine like terms: -6 + 6 = 0
0 + 3y = 6 + 6
3y = 6 + 6

Combine like terms: 6 + 6 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4