y^2-3y-x-4=y^2-49+x

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Solution for y^2-3y-x-4=y^2-49+x equation:


Simplifying
y2 + -3y + -1x + -4 = y2 + -49 + x

Reorder the terms:
-4 + -1x + -3y + y2 = y2 + -49 + x

Reorder the terms:
-4 + -1x + -3y + y2 = -49 + x + y2

Add '-1y2' to each side of the equation.
-4 + -1x + -3y + y2 + -1y2 = -49 + x + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-4 + -1x + -3y + 0 = -49 + x + y2 + -1y2
-4 + -1x + -3y = -49 + x + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-4 + -1x + -3y = -49 + x + 0
-4 + -1x + -3y = -49 + x

Solving
-4 + -1x + -3y = -49 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-4 + -1x + -1x + -3y = -49 + x + -1x

Combine like terms: -1x + -1x = -2x
-4 + -2x + -3y = -49 + x + -1x

Combine like terms: x + -1x = 0
-4 + -2x + -3y = -49 + 0
-4 + -2x + -3y = -49

Add '4' to each side of the equation.
-4 + -2x + 4 + -3y = -49 + 4

Reorder the terms:
-4 + 4 + -2x + -3y = -49 + 4

Combine like terms: -4 + 4 = 0
0 + -2x + -3y = -49 + 4
-2x + -3y = -49 + 4

Combine like terms: -49 + 4 = -45
-2x + -3y = -45

Add '3y' to each side of the equation.
-2x + -3y + 3y = -45 + 3y

Combine like terms: -3y + 3y = 0
-2x + 0 = -45 + 3y
-2x = -45 + 3y

Divide each side by '-2'.
x = 22.5 + -1.5y

Simplifying
x = 22.5 + -1.5y

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