3.8+1.2z-(5.7y+7.5z)=

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Solution for 3.8+1.2z-(5.7y+7.5z)= equation: 


Simplifying
3.8 + 1.2z + -1(5.7y + 7.5z) = 0
3.8 + 1.2z + (5.7y * -1 + 7.5z * -1) = 0
3.8 + 1.2z + (-5.7y + -7.5z) = 0

Reorder the terms:
3.8 + -5.7y + 1.2z + -7.5z = 0

Combine like terms: 1.2z + -7.5z = -6.3z
3.8 + -5.7y + -6.3z = 0

Solving
3.8 + -5.7y + -6.3z = 0

Solving for variable 'y'.

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

Add '-3.8' to each side of the equation.
3.8 + -5.7y + -3.8 + -6.3z = 0 + -3.8

Reorder the terms:
3.8 + -3.8 + -5.7y + -6.3z = 0 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -5.7y + -6.3z = 0 + -3.8
-5.7y + -6.3z = 0 + -3.8

Combine like terms: 0 + -3.8 = -3.8
-5.7y + -6.3z = -3.8

Add '6.3z' to each side of the equation.
-5.7y + -6.3z + 6.3z = -3.8 + 6.3z

Combine like terms: -6.3z + 6.3z = 0.0
-5.7y + 0.0 = -3.8 + 6.3z
-5.7y = -3.8 + 6.3z

Divide each side by '-5.7'.
y = 0.6666666667 + -1.105263158z

Simplifying
y = 0.6666666667 + -1.105263158z

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