y+2x+5y=3x+4

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


Simplifying
y + 2x + 5y = 3x + 4

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

Combine like terms: y + 5y = 6y
2x + 6y = 3x + 4

Reorder the terms:
2x + 6y = 4 + 3x

Solving
2x + 6y = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2x + -3x + 6y = 4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-1x + 6y = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1x + 6y = 4 + 0
-1x + 6y = 4

Add '-6y' to each side of the equation.
-1x + 6y + -6y = 4 + -6y

Combine like terms: 6y + -6y = 0
-1x + 0 = 4 + -6y
-1x = 4 + -6y

Divide each side by '-1'.
x = -4 + 6y

Simplifying
x = -4 + 6y

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