5y+2z=0

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Solution for 5y+2z=0 equation: 


Simplifying
5y + 2z = 0

Solving
5y + 2z = 0

Solving for variable 'y'.

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

Add '-2z' to each side of the equation.
5y + 2z + -2z = 0 + -2z

Combine like terms: 2z + -2z = 0
5y + 0 = 0 + -2z
5y = 0 + -2z
Remove the zero:
5y = -2z

Divide each side by '5'.
y = -0.4z

Simplifying
y = -0.4z

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