Y-3(2z-5y)-z=

Solution for Y-3(2z-5y)-z= equation:

Simplifying
Y + -3(2z + -5y) + -1z = 0

Reorder the terms:
Y + -3(-5y + 2z) + -1z = 0
Y + (-5y * -3 + 2z * -3) + -1z = 0
Y + (15y + -6z) + -1z = 0

Combine like terms: -6z + -1z = -7z
Y + 15y + -7z = 0

Solving
Y + 15y + -7z = 0

Solving for variable 'Y'.

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

Add '-15y' to each side of the equation.
Y + 15y + -15y + -7z = 0 + -15y

Combine like terms: 15y + -15y = 0
Y + 0 + -7z = 0 + -15y
Y + -7z = 0 + -15y
Remove the zero:
Y + -7z = -15y

Add '7z' to each side of the equation.
Y + -7z + 7z = -15y + 7z

Combine like terms: -7z + 7z = 0
Y + 0 = -15y + 7z
Y = -15y + 7z

Simplifying
Y = -15y + 7z