4y+x-2+4y-5=7+4-3y+1

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Solution for 4y+x-2+4y-5=7+4-3y+1 equation:


Simplifying
4y + x + -2 + 4y + -5 = 7 + 4 + -3y + 1

Reorder the terms:
-2 + -5 + x + 4y + 4y = 7 + 4 + -3y + 1

Combine like terms: -2 + -5 = -7
-7 + x + 4y + 4y = 7 + 4 + -3y + 1

Combine like terms: 4y + 4y = 8y
-7 + x + 8y = 7 + 4 + -3y + 1

Reorder the terms:
-7 + x + 8y = 7 + 4 + 1 + -3y

Combine like terms: 7 + 4 = 11
-7 + x + 8y = 11 + 1 + -3y

Combine like terms: 11 + 1 = 12
-7 + x + 8y = 12 + -3y

Solving
-7 + x + 8y = 12 + -3y

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 + 8y = 12 + 7 + -3y

Reorder the terms:
-7 + 7 + x + 8y = 12 + 7 + -3y

Combine like terms: -7 + 7 = 0
0 + x + 8y = 12 + 7 + -3y
x + 8y = 12 + 7 + -3y

Combine like terms: 12 + 7 = 19
x + 8y = 19 + -3y

Add '-8y' to each side of the equation.
x + 8y + -8y = 19 + -3y + -8y

Combine like terms: 8y + -8y = 0
x + 0 = 19 + -3y + -8y
x = 19 + -3y + -8y

Combine like terms: -3y + -8y = -11y
x = 19 + -11y

Simplifying
x = 19 + -11y

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