(x+3y-5z)-(x-2y+6z)=

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Solution for (x+3y-5z)-(x-2y+6z)= equation:


Simplifying
(x + 3y + -5z) + -1(x + -2y + 6z) = 0

Remove parenthesis around (x + 3y + -5z)
x + 3y + -5z + -1(x + -2y + 6z) = 0
x + 3y + -5z + (x * -1 + -2y * -1 + 6z * -1) = 0
x + 3y + -5z + (-1x + 2y + -6z) = 0

Reorder the terms:
x + -1x + 3y + 2y + -5z + -6z = 0

Combine like terms: x + -1x = 0
0 + 3y + 2y + -5z + -6z = 0
3y + 2y + -5z + -6z = 0

Combine like terms: 3y + 2y = 5y
5y + -5z + -6z = 0

Combine like terms: -5z + -6z = -11z
5y + -11z = 0

Solving
5y + -11z = 0

Solving for variable 'y'.

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

Add '11z' to each side of the equation.
5y + -11z + 11z = 0 + 11z

Combine like terms: -11z + 11z = 0
5y + 0 = 0 + 11z
5y = 0 + 11z
Remove the zero:
5y = 11z

Divide each side by '5'.
y = 2.2z

Simplifying
y = 2.2z

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