3z+2y=2z+1y+2x

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Solution for 3z+2y=2z+1y+2x equation:


Simplifying
3z + 2y = 2z + 1y + 2x

Reorder the terms:
2y + 3z = 2z + 1y + 2x

Reorder the terms:
2y + 3z = 2x + 1y + 2z

Solving
2y + 3z = 2x + 1y + 2z

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
2y + -1y + 3z = 2x + 1y + -1y + 2z

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

Combine like terms: 1y + -1y = 0
1y + 3z = 2x + 0 + 2z
1y + 3z = 2x + 2z

Add '-3z' to each side of the equation.
1y + 3z + -3z = 2x + 2z + -3z

Combine like terms: 3z + -3z = 0
1y + 0 = 2x + 2z + -3z
1y = 2x + 2z + -3z

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

Divide each side by '1'.
y = 2x + -1z

Simplifying
y = 2x + -1z

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