y-3x=6(y+7x)+10

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Solution for y-3x=6(y+7x)+10 equation:


Simplifying
y + -3x = 6(y + 7x) + 10

Reorder the terms:
-3x + y = 6(y + 7x) + 10

Reorder the terms:
-3x + y = 6(7x + y) + 10
-3x + y = (7x * 6 + y * 6) + 10
-3x + y = (42x + 6y) + 10

Reorder the terms:
-3x + y = 10 + 42x + 6y

Solving
-3x + y = 10 + 42x + 6y

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
-3x + -42x + y = 10 + 42x + -42x + 6y

Combine like terms: -3x + -42x = -45x
-45x + y = 10 + 42x + -42x + 6y

Combine like terms: 42x + -42x = 0
-45x + y = 10 + 0 + 6y
-45x + y = 10 + 6y

Add '-1y' to each side of the equation.
-45x + y + -1y = 10 + 6y + -1y

Combine like terms: y + -1y = 0
-45x + 0 = 10 + 6y + -1y
-45x = 10 + 6y + -1y

Combine like terms: 6y + -1y = 5y
-45x = 10 + 5y

Divide each side by '-45'.
x = -0.2222222222 + -0.1111111111y

Simplifying
x = -0.2222222222 + -0.1111111111y

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