(y-5)=6(x+2)

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Solution for (y-5)=6(x+2) equation:


Simplifying
(y + -5) = 6(x + 2)

Reorder the terms:
(-5 + y) = 6(x + 2)

Remove parenthesis around (-5 + y)
-5 + y = 6(x + 2)

Reorder the terms:
-5 + y = 6(2 + x)
-5 + y = (2 * 6 + x * 6)
-5 + y = (12 + 6x)

Solving
-5 + y = 12 + 6x

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y = 12 + 5 + 6x

Combine like terms: -5 + 5 = 0
0 + y = 12 + 5 + 6x
y = 12 + 5 + 6x

Combine like terms: 12 + 5 = 17
y = 17 + 6x

Simplifying
y = 17 + 6x

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