y^2-4y-x+7=0

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Solution for y^2-4y-x+7=0 equation:


Simplifying
y2 + -4y + -1x + 7 = 0

Reorder the terms:
7 + -1x + -4y + y2 = 0

Solving
7 + -1x + -4y + y2 = 0

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -1x + -4y + -7 + y2 = 0 + -7

Reorder the terms:
7 + -7 + -1x + -4y + y2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x + -4y + y2 = 0 + -7
-1x + -4y + y2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x + -4y + y2 = -7

Add '4y' to each side of the equation.
-1x + -4y + 4y + y2 = -7 + 4y

Combine like terms: -4y + 4y = 0
-1x + 0 + y2 = -7 + 4y
-1x + y2 = -7 + 4y

Add '-1y2' to each side of the equation.
-1x + y2 + -1y2 = -7 + 4y + -1y2

Combine like terms: y2 + -1y2 = 0
-1x + 0 = -7 + 4y + -1y2
-1x = -7 + 4y + -1y2

Divide each side by '-1'.
x = 7 + -4y + y2

Simplifying
x = 7 + -4y + y2

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