y-2=5(x-4)

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Solution for y-2=5(x-4) equation:


Simplifying
y + -2 = 5(x + -4)

Reorder the terms:
-2 + y = 5(x + -4)

Reorder the terms:
-2 + y = 5(-4 + x)
-2 + y = (-4 * 5 + x * 5)
-2 + y = (-20 + 5x)

Solving
-2 + y = -20 + 5x

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + y = -20 + 2 + 5x

Combine like terms: -2 + 2 = 0
0 + y = -20 + 2 + 5x
y = -20 + 2 + 5x

Combine like terms: -20 + 2 = -18
y = -18 + 5x

Simplifying
y = -18 + 5x

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