7Y+6=42-5Y

Solution for 7Y+6=42-5Y equation:

Simplifying
7Y + 6 = 42 + -5Y

Reorder the terms:
6 + 7Y = 42 + -5Y

Solving
6 + 7Y = 42 + -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 + 7Y + 5Y = 42 + -5Y + 5Y

Combine like terms: 7Y + 5Y = 12Y
6 + 12Y = 42 + -5Y + 5Y

Combine like terms: -5Y + 5Y = 0
6 + 12Y = 42 + 0
6 + 12Y = 42

Add '-6' to each side of the equation.
6 + -6 + 12Y = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 12Y = 42 + -6
12Y = 42 + -6

Combine like terms: 42 + -6 = 36
12Y = 36

Divide each side by '12'.
Y = 3

Simplifying
Y = 3