6x+7-3y=1

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Solution for 6x+7-3y=1 equation:


Simplifying
6x + 7 + -3y = 1

Reorder the terms:
7 + 6x + -3y = 1

Solving
7 + 6x + -3y = 1

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 + 6x + -7 + -3y = 1 + -7

Reorder the terms:
7 + -7 + 6x + -3y = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 6x + -3y = 1 + -7
6x + -3y = 1 + -7

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

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

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

Divide each side by '6'.
x = -1 + 0.5y

Simplifying
x = -1 + 0.5y

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