(67.38+-3.63y+-3.44z)(280.79)+1020.12y+966.52z=18920.62

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Solution for (67.38+-3.63y+-3.44z)(280.79)+1020.12y+966.52z=18920.62 equation: 


Simplifying
(67.38 + -3.63y + -3.44z)(280.79) + 1020.12y + 966.52z = 18920.62

Reorder the terms for easier multiplication:
280.79(67.38 + -3.63y + -3.44z) + 1020.12y + 966.52z = 18920.62
(67.38 * 280.79 + -3.63y * 280.79 + -3.44z * 280.79) + 1020.12y + 966.52z = 18920.62
(18919.6302 + -1019.2677y + -965.9176z) + 1020.12y + 966.52z = 18920.62

Reorder the terms:
18919.6302 + -1019.2677y + 1020.12y + -965.9176z + 966.52z = 18920.62

Combine like terms: -1019.2677y + 1020.12y = 0.8523y
18919.6302 + 0.8523y + -965.9176z + 966.52z = 18920.62

Combine like terms: -965.9176z + 966.52z = 0.6024z
18919.6302 + 0.8523y + 0.6024z = 18920.62

Solving
18919.6302 + 0.8523y + 0.6024z = 18920.62

Solving for variable 'y'.

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

Add '-18919.6302' to each side of the equation.
18919.6302 + 0.8523y + -18919.6302 + 0.6024z = 18920.62 + -18919.6302

Reorder the terms:
18919.6302 + -18919.6302 + 0.8523y + 0.6024z = 18920.62 + -18919.6302

Combine like terms: 18919.6302 + -18919.6302 = 0.0000
0.0000 + 0.8523y + 0.6024z = 18920.62 + -18919.6302
0.8523y + 0.6024z = 18920.62 + -18919.6302

Combine like terms: 18920.62 + -18919.6302 = 0.9898
0.8523y + 0.6024z = 0.9898

Add '-0.6024z' to each side of the equation.
0.8523y + 0.6024z + -0.6024z = 0.9898 + -0.6024z

Combine like terms: 0.6024z + -0.6024z = 0.0000
0.8523y + 0.0000 = 0.9898 + -0.6024z
0.8523y = 0.9898 + -0.6024z

Divide each side by '0.8523'.
y = 1.161328171 + -0.7067933826z

Simplifying
y = 1.161328171 + -0.7067933826z

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