-(0.2+0.2y+0.2z)+2y-5z=-16

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Solution for -(0.2+0.2y+0.2z)+2y-5z=-16 equation:


Simplifying
-1(0.2 + 0.2y + 0.2z) + 2y + -5z = -16
(0.2 * -1 + 0.2y * -1 + 0.2z * -1) + 2y + -5z = -16
(-0.2 + -0.2y + -0.2z) + 2y + -5z = -16

Reorder the terms:
-0.2 + -0.2y + 2y + -0.2z + -5z = -16

Combine like terms: -0.2y + 2y = 1.8y
-0.2 + 1.8y + -0.2z + -5z = -16

Combine like terms: -0.2z + -5z = -5.2z
-0.2 + 1.8y + -5.2z = -16

Solving
-0.2 + 1.8y + -5.2z = -16

Solving for variable 'y'.

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

Add '0.2' to each side of the equation.
-0.2 + 1.8y + 0.2 + -5.2z = -16 + 0.2

Reorder the terms:
-0.2 + 0.2 + 1.8y + -5.2z = -16 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 1.8y + -5.2z = -16 + 0.2
1.8y + -5.2z = -16 + 0.2

Combine like terms: -16 + 0.2 = -15.8
1.8y + -5.2z = -15.8

Add '5.2z' to each side of the equation.
1.8y + -5.2z + 5.2z = -15.8 + 5.2z

Combine like terms: -5.2z + 5.2z = 0.0
1.8y + 0.0 = -15.8 + 5.2z
1.8y = -15.8 + 5.2z

Divide each side by '1.8'.
y = -8.777777778 + 2.888888889z

Simplifying
y = -8.777777778 + 2.888888889z

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