y-4=-3(x-3)

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Solution for y-4=-3(x-3) equation:


Simplifying
y + -4 = -3(x + -3)

Reorder the terms:
-4 + y = -3(x + -3)

Reorder the terms:
-4 + y = -3(-3 + x)
-4 + y = (-3 * -3 + x * -3)
-4 + y = (9 + -3x)

Solving
-4 + y = 9 + -3x

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + y = 9 + 4 + -3x

Combine like terms: -4 + 4 = 0
0 + y = 9 + 4 + -3x
y = 9 + 4 + -3x

Combine like terms: 9 + 4 = 13
y = 13 + -3x

Simplifying
y = 13 + -3x

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