6-(3Y)+Y=42

Solution for 6-(3Y)+Y=42 equation:

Simplifying
6 + -1(3Y) + Y = 42

Remove parenthesis around (3Y)
6 + -1 * 3Y + Y = 42

Multiply -1 * 3
6 + -3Y + Y = 42

Combine like terms: -3Y + Y = -2Y
6 + -2Y = 42

Solving
6 + -2Y = 42

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 + -2Y = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -2Y = 42 + -6
-2Y = 42 + -6

Combine like terms: 42 + -6 = 36
-2Y = 36

Divide each side by '-2'.
Y = -18

Simplifying
Y = -18