3y+1=4y-x

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


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

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

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

Solving
1 + 3y = -1x + 4y

Solving for variable 'y'.

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

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

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

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

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

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

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

Simplifying
y = 1 + x

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