3(x+y-5)=3(4-y)

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Solution for 3(x+y-5)=3(4-y) equation: 


Simplifying
3(x + y + -5) = 3(4 + -1y)

Reorder the terms:
3(-5 + x + y) = 3(4 + -1y)
(-5 * 3 + x * 3 + y * 3) = 3(4 + -1y)
(-15 + 3x + 3y) = 3(4 + -1y)
-15 + 3x + 3y = (4 * 3 + -1y * 3)
-15 + 3x + 3y = (12 + -3y)

Solving
-15 + 3x + 3y = 12 + -3y

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 3x + 15 + 3y = 12 + 15 + -3y

Reorder the terms:
-15 + 15 + 3x + 3y = 12 + 15 + -3y

Combine like terms: -15 + 15 = 0
0 + 3x + 3y = 12 + 15 + -3y
3x + 3y = 12 + 15 + -3y

Combine like terms: 12 + 15 = 27
3x + 3y = 27 + -3y

Add '-3y' to each side of the equation.
3x + 3y + -3y = 27 + -3y + -3y

Combine like terms: 3y + -3y = 0
3x + 0 = 27 + -3y + -3y
3x = 27 + -3y + -3y

Combine like terms: -3y + -3y = -6y
3x = 27 + -6y

Divide each side by '3'.
x = 9 + -2y

Simplifying
x = 9 + -2y

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