y-2=-3(x-5)

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Solution for y-2=-3(x-5) equation:


Simplifying
y + -2 = -3(x + -5)

Reorder the terms:
-2 + y = -3(x + -5)

Reorder the terms:
-2 + y = -3(-5 + x)
-2 + y = (-5 * -3 + x * -3)
-2 + y = (15 + -3x)

Solving
-2 + y = 15 + -3x

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 = 15 + 2 + -3x

Combine like terms: -2 + 2 = 0
0 + y = 15 + 2 + -3x
y = 15 + 2 + -3x

Combine like terms: 15 + 2 = 17
y = 17 + -3x

Simplifying
y = 17 + -3x

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