3y-6=-2x+9

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Solution for 3y-6=-2x+9 equation:


Simplifying
3y + -6 = -2x + 9

Reorder the terms:
-6 + 3y = -2x + 9

Reorder the terms:
-6 + 3y = 9 + -2x

Solving
-6 + 3y = 9 + -2x

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 3y = 9 + 6 + -2x

Combine like terms: -6 + 6 = 0
0 + 3y = 9 + 6 + -2x
3y = 9 + 6 + -2x

Combine like terms: 9 + 6 = 15
3y = 15 + -2x

Divide each side by '3'.
y = 5 + -0.6666666667x

Simplifying
y = 5 + -0.6666666667x

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