2y+z+20=3z+y

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Solution for 2y+z+20=3z+y equation:


Simplifying
2y + z + 20 = 3z + y

Reorder the terms:
20 + 2y + z = 3z + y

Reorder the terms:
20 + 2y + z = y + 3z

Solving
20 + 2y + z = y + 3z

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.
20 + 2y + -1y + z = y + -1y + 3z

Combine like terms: 2y + -1y = 1y
20 + 1y + z = y + -1y + 3z

Combine like terms: y + -1y = 0
20 + 1y + z = 0 + 3z
20 + 1y + z = 3z

Add '-20' to each side of the equation.
20 + 1y + -20 + z = -20 + 3z

Reorder the terms:
20 + -20 + 1y + z = -20 + 3z

Combine like terms: 20 + -20 = 0
0 + 1y + z = -20 + 3z
1y + z = -20 + 3z

Add '-1z' to each side of the equation.
1y + z + -1z = -20 + 3z + -1z

Combine like terms: z + -1z = 0
1y + 0 = -20 + 3z + -1z
1y = -20 + 3z + -1z

Combine like terms: 3z + -1z = 2z
1y = -20 + 2z

Divide each side by '1'.
y = -20 + 2z

Simplifying
y = -20 + 2z

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