(x-7)+4y=9+(y-21)

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Solution for (x-7)+4y=9+(y-21) equation:


Simplifying
(x + -7) + 4y = 9 + (y + -21)

Reorder the terms:
(-7 + x) + 4y = 9 + (y + -21)

Remove parenthesis around (-7 + x)
-7 + x + 4y = 9 + (y + -21)

Reorder the terms:
-7 + x + 4y = 9 + (-21 + y)

Remove parenthesis around (-21 + y)
-7 + x + 4y = 9 + -21 + y

Combine like terms: 9 + -21 = -12
-7 + x + 4y = -12 + y

Solving
-7 + x + 4y = -12 + y

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 + x + 7 + 4y = -12 + 7 + y

Reorder the terms:
-7 + 7 + x + 4y = -12 + 7 + y

Combine like terms: -7 + 7 = 0
0 + x + 4y = -12 + 7 + y
x + 4y = -12 + 7 + y

Combine like terms: -12 + 7 = -5
x + 4y = -5 + y

Add '-4y' to each side of the equation.
x + 4y + -4y = -5 + y + -4y

Combine like terms: 4y + -4y = 0
x + 0 = -5 + y + -4y
x = -5 + y + -4y

Combine like terms: y + -4y = -3y
x = -5 + -3y

Simplifying
x = -5 + -3y

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