y-8=-5(x-2)

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Solution for y-8=-5(x-2) equation:


Simplifying
y + -8 = -5(x + -2)

Reorder the terms:
-8 + y = -5(x + -2)

Reorder the terms:
-8 + y = -5(-2 + x)
-8 + y = (-2 * -5 + x * -5)
-8 + y = (10 + -5x)

Solving
-8 + y = 10 + -5x

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + y = 10 + 8 + -5x

Combine like terms: -8 + 8 = 0
0 + y = 10 + 8 + -5x
y = 10 + 8 + -5x

Combine like terms: 10 + 8 = 18
y = 18 + -5x

Simplifying
y = 18 + -5x

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