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

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


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

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

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

Solving
7 + 3x + -4y = 1 + 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 + 3x + -7 + -4y = 1 + -7 + 3y

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

Combine like terms: 7 + -7 = 0
0 + 3x + -4y = 1 + -7 + 3y
3x + -4y = 1 + -7 + 3y

Combine like terms: 1 + -7 = -6
3x + -4y = -6 + 3y

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

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

Combine like terms: 3y + 4y = 7y
3x = -6 + 7y

Divide each side by '3'.
x = -2 + 2.333333333y

Simplifying
x = -2 + 2.333333333y

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