6+-1.5y+2Y+Z=16

Solution for 6+-1.5y+2Y+Z=16 equation:

Simplifying
6 + -1.5y + 2Y + Z = 16

Reorder the terms:
6 + 2Y + Z + -1.5y = 16

Solving
6 + 2Y + Z + -1.5y = 16

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 + 2Y + Z + -6 + -1.5y = 16 + -6

Reorder the terms:
6 + -6 + 2Y + Z + -1.5y = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2Y + Z + -1.5y = 16 + -6
2Y + Z + -1.5y = 16 + -6

Combine like terms: 16 + -6 = 10
2Y + Z + -1.5y = 10

Add '-1Z' to each side of the equation.
2Y + Z + -1Z + -1.5y = 10 + -1Z

Combine like terms: Z + -1Z = 0
2Y + 0 + -1.5y = 10 + -1Z
2Y + -1.5y = 10 + -1Z

Add '1.5y' to each side of the equation.
2Y + -1.5y + 1.5y = 10 + -1Z + 1.5y

Combine like terms: -1.5y + 1.5y = 0.0
2Y + 0.0 = 10 + -1Z + 1.5y
2Y = 10 + -1Z + 1.5y

Divide each side by '2'.
Y = 5 + -0.5Z + 0.75y

Simplifying
Y = 5 + -0.5Z + 0.75y