5y-9+31-y=6x-6+4x+6

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Solution for 5y-9+31-y=6x-6+4x+6 equation:


Simplifying
5y + -9 + 31 + -1y = 6x + -6 + 4x + 6

Reorder the terms:
-9 + 31 + 5y + -1y = 6x + -6 + 4x + 6

Combine like terms: -9 + 31 = 22
22 + 5y + -1y = 6x + -6 + 4x + 6

Combine like terms: 5y + -1y = 4y
22 + 4y = 6x + -6 + 4x + 6

Reorder the terms:
22 + 4y = -6 + 6 + 6x + 4x

Combine like terms: -6 + 6 = 0
22 + 4y = 0 + 6x + 4x
22 + 4y = 6x + 4x

Combine like terms: 6x + 4x = 10x
22 + 4y = 10x

Solving
22 + 4y = 10x

Solving for variable 'y'.

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

Add '-22' to each side of the equation.
22 + -22 + 4y = -22 + 10x

Combine like terms: 22 + -22 = 0
0 + 4y = -22 + 10x
4y = -22 + 10x

Divide each side by '4'.
y = -5.5 + 2.5x

Simplifying
y = -5.5 + 2.5x

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