3y-1z+2z-30=70

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Solution for 3y-1z+2z-30=70 equation:


Simplifying
3y + -1z + 2z + -30 = 70

Reorder the terms:
-30 + 3y + -1z + 2z = 70

Combine like terms: -1z + 2z = 1z
-30 + 3y + 1z = 70

Solving
-30 + 3y + 1z = 70

Solving for variable 'y'.

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

Add '30' to each side of the equation.
-30 + 3y + 30 + 1z = 70 + 30

Reorder the terms:
-30 + 30 + 3y + 1z = 70 + 30

Combine like terms: -30 + 30 = 0
0 + 3y + 1z = 70 + 30
3y + 1z = 70 + 30

Combine like terms: 70 + 30 = 100
3y + 1z = 100

Add '-1z' to each side of the equation.
3y + 1z + -1z = 100 + -1z

Combine like terms: 1z + -1z = 0
3y + 0 = 100 + -1z
3y = 100 + -1z

Divide each side by '3'.
y = 33.33333333 + -0.3333333333z

Simplifying
y = 33.33333333 + -0.3333333333z

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