y-4=-3(x-2)

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Solution for y-4=-3(x-2) equation:


Simplifying
y + -4 = -3(x + -2)

Reorder the terms:
-4 + y = -3(x + -2)

Reorder the terms:
-4 + y = -3(-2 + x)
-4 + y = (-2 * -3 + x * -3)
-4 + y = (6 + -3x)

Solving
-4 + y = 6 + -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 = 6 + 4 + -3x

Combine like terms: -4 + 4 = 0
0 + y = 6 + 4 + -3x
y = 6 + 4 + -3x

Combine like terms: 6 + 4 = 10
y = 10 + -3x

Simplifying
y = 10 + -3x

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