y-2=-3(x-7)

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Solution for y-2=-3(x-7) equation:


Simplifying
y + -2 = -3(x + -7)

Reorder the terms:
-2 + y = -3(x + -7)

Reorder the terms:
-2 + y = -3(-7 + x)
-2 + y = (-7 * -3 + x * -3)
-2 + y = (21 + -3x)

Solving
-2 + y = 21 + -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 = 21 + 2 + -3x

Combine like terms: -2 + 2 = 0
0 + y = 21 + 2 + -3x
y = 21 + 2 + -3x

Combine like terms: 21 + 2 = 23
y = 23 + -3x

Simplifying
y = 23 + -3x

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