y-4=-5(x-3)

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Solution for y-4=-5(x-3) equation:


Simplifying
y + -4 = -5(x + -3)

Reorder the terms:
-4 + y = -5(x + -3)

Reorder the terms:
-4 + y = -5(-3 + x)
-4 + y = (-3 * -5 + x * -5)
-4 + y = (15 + -5x)

Solving
-4 + y = 15 + -5x

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 = 15 + 4 + -5x

Combine like terms: -4 + 4 = 0
0 + y = 15 + 4 + -5x
y = 15 + 4 + -5x

Combine like terms: 15 + 4 = 19
y = 19 + -5x

Simplifying
y = 19 + -5x

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