y-5=-6(x-6)

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


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

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

Reorder the terms:
-5 + y = -6(-6 + x)
-5 + y = (-6 * -6 + x * -6)
-5 + y = (36 + -6x)

Solving
-5 + y = 36 + -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 = 36 + 5 + -6x

Combine like terms: -5 + 5 = 0
0 + y = 36 + 5 + -6x
y = 36 + 5 + -6x

Combine like terms: 36 + 5 = 41
y = 41 + -6x

Simplifying
y = 41 + -6x

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