6(y-4)=7x-2

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Solution for 6(y-4)=7x-2 equation: 


Simplifying
6(y + -4) = 7x + -2

Reorder the terms:
6(-4 + y) = 7x + -2
(-4 * 6 + y * 6) = 7x + -2
(-24 + 6y) = 7x + -2

Reorder the terms:
-24 + 6y = -2 + 7x

Solving
-24 + 6y = -2 + 7x

Solving for variable 'y'.

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

Add '24' to each side of the equation.
-24 + 24 + 6y = -2 + 24 + 7x

Combine like terms: -24 + 24 = 0
0 + 6y = -2 + 24 + 7x
6y = -2 + 24 + 7x

Combine like terms: -2 + 24 = 22
6y = 22 + 7x

Divide each side by '6'.
y = 3.666666667 + 1.166666667x

Simplifying
y = 3.666666667 + 1.166666667x

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