34-4(x+y)=10-x-y

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Solution for 34-4(x+y)=10-x-y equation:


Simplifying
34 + -4(x + y) = 10 + -1x + -1y
34 + (x * -4 + y * -4) = 10 + -1x + -1y
34 + (-4x + -4y) = 10 + -1x + -1y

Solving
34 + -4x + -4y = 10 + -1x + -1y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
34 + -4x + x + -4y = 10 + -1x + x + -1y

Combine like terms: -4x + x = -3x
34 + -3x + -4y = 10 + -1x + x + -1y

Combine like terms: -1x + x = 0
34 + -3x + -4y = 10 + 0 + -1y
34 + -3x + -4y = 10 + -1y

Add '-34' to each side of the equation.
34 + -3x + -34 + -4y = 10 + -34 + -1y

Reorder the terms:
34 + -34 + -3x + -4y = 10 + -34 + -1y

Combine like terms: 34 + -34 = 0
0 + -3x + -4y = 10 + -34 + -1y
-3x + -4y = 10 + -34 + -1y

Combine like terms: 10 + -34 = -24
-3x + -4y = -24 + -1y

Add '4y' to each side of the equation.
-3x + -4y + 4y = -24 + -1y + 4y

Combine like terms: -4y + 4y = 0
-3x + 0 = -24 + -1y + 4y
-3x = -24 + -1y + 4y

Combine like terms: -1y + 4y = 3y
-3x = -24 + 3y

Divide each side by '-3'.
x = 8 + -1y

Simplifying
x = 8 + -1y

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