3y+6=6-5x

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Solution for 3y+6=6-5x equation: 


Simplifying
3y + 6 = 6 + -5x

Reorder the terms:
6 + 3y = 6 + -5x

Add '-6' to each side of the equation.
6 + -6 + 3y = 6 + -6 + -5x

Combine like terms: 6 + -6 = 0
0 + 3y = 6 + -6 + -5x
3y = 6 + -6 + -5x

Combine like terms: 6 + -6 = 0
3y = 0 + -5x
3y = -5x

Solving
3y = -5x

Solving for variable 'y'.

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

Divide each side by '3'.
y = -1.666666667x

Simplifying
y = -1.666666667x

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