4y-9=y-2x-6

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Solution for 4y-9=y-2x-6 equation:


Simplifying
4y + -9 = y + -2x + -6

Reorder the terms:
-9 + 4y = y + -2x + -6

Reorder the terms:
-9 + 4y = -6 + -2x + y

Solving
-9 + 4y = -6 + -2x + y

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.
-9 + 4y + -1y = -6 + -2x + y + -1y

Combine like terms: 4y + -1y = 3y
-9 + 3y = -6 + -2x + y + -1y

Combine like terms: y + -1y = 0
-9 + 3y = -6 + -2x + 0
-9 + 3y = -6 + -2x

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

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

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

Divide each side by '3'.
y = 1 + -0.6666666667x

Simplifying
y = 1 + -0.6666666667x

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