y+5=-4(x-5)

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


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

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

Reorder the terms:
5 + y = -4(-5 + x)
5 + y = (-5 * -4 + x * -4)
5 + y = (20 + -4x)

Solving
5 + y = 20 + -4x

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + y = 20 + -5 + -4x

Combine like terms: 5 + -5 = 0
0 + y = 20 + -5 + -4x
y = 20 + -5 + -4x

Combine like terms: 20 + -5 = 15
y = 15 + -4x

Simplifying
y = 15 + -4x

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