3y-15-8x-16=-2y-22

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Solution for 3y-15-8x-16=-2y-22 equation:


Simplifying
3y + -15 + -8x + -16 = -2y + -22

Reorder the terms:
-15 + -16 + -8x + 3y = -2y + -22

Combine like terms: -15 + -16 = -31
-31 + -8x + 3y = -2y + -22

Reorder the terms:
-31 + -8x + 3y = -22 + -2y

Solving
-31 + -8x + 3y = -22 + -2y

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + -8x + 31 + 3y = -22 + 31 + -2y

Reorder the terms:
-31 + 31 + -8x + 3y = -22 + 31 + -2y

Combine like terms: -31 + 31 = 0
0 + -8x + 3y = -22 + 31 + -2y
-8x + 3y = -22 + 31 + -2y

Combine like terms: -22 + 31 = 9
-8x + 3y = 9 + -2y

Add '-3y' to each side of the equation.
-8x + 3y + -3y = 9 + -2y + -3y

Combine like terms: 3y + -3y = 0
-8x + 0 = 9 + -2y + -3y
-8x = 9 + -2y + -3y

Combine like terms: -2y + -3y = -5y
-8x = 9 + -5y

Divide each side by '-8'.
x = -1.125 + 0.625y

Simplifying
x = -1.125 + 0.625y

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