(8x+2y-8z)+(7x+8y+7z)-(15x+8y+z)=

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Solution for (8x+2y-8z)+(7x+8y+7z)-(15x+8y+z)= equation:


Simplifying
(8x + 2y + -8z) + (7x + 8y + 7z) + -1(15x + 8y + z) = 0

Remove parenthesis around (8x + 2y + -8z)
8x + 2y + -8z + (7x + 8y + 7z) + -1(15x + 8y + z) = 0

Remove parenthesis around (7x + 8y + 7z)
8x + 2y + -8z + 7x + 8y + 7z + -1(15x + 8y + z) = 0
8x + 2y + -8z + 7x + 8y + 7z + (15x * -1 + 8y * -1 + z * -1) = 0
8x + 2y + -8z + 7x + 8y + 7z + (-15x + -8y + -1z) = 0

Reorder the terms:
8x + 7x + -15x + 2y + 8y + -8y + -8z + 7z + -1z = 0

Combine like terms: 8x + 7x = 15x
15x + -15x + 2y + 8y + -8y + -8z + 7z + -1z = 0

Combine like terms: 15x + -15x = 0
0 + 2y + 8y + -8y + -8z + 7z + -1z = 0
2y + 8y + -8y + -8z + 7z + -1z = 0

Combine like terms: 2y + 8y = 10y
10y + -8y + -8z + 7z + -1z = 0

Combine like terms: 10y + -8y = 2y
2y + -8z + 7z + -1z = 0

Combine like terms: -8z + 7z = -1z
2y + -1z + -1z = 0

Combine like terms: -1z + -1z = -2z
2y + -2z = 0

Solving
2y + -2z = 0

Solving for variable 'y'.

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

Add '2z' to each side of the equation.
2y + -2z + 2z = 0 + 2z

Combine like terms: -2z + 2z = 0
2y + 0 = 0 + 2z
2y = 0 + 2z
Remove the zero:
2y = 2z

Divide each side by '2'.
y = z

Simplifying
y = z

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