y=4x+3y+-x-2

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


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

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

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

Solving
y = -2 + 3x + 3y

Solving for variable 'y'.

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

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

Combine like terms: y + -3y = -2y
-2y = -2 + 3x + 3y + -3y

Combine like terms: 3y + -3y = 0
-2y = -2 + 3x + 0
-2y = -2 + 3x

Divide each side by '-2'.
y = 1 + -1.5x

Simplifying
y = 1 + -1.5x

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