y-5=-4(x-7)

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Solution for y-5=-4(x-7) equation:


Simplifying
y + -5 = -4(x + -7)

Reorder the terms:
-5 + y = -4(x + -7)

Reorder the terms:
-5 + y = -4(-7 + x)
-5 + y = (-7 * -4 + x * -4)
-5 + y = (28 + -4x)

Solving
-5 + y = 28 + -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 = 28 + 5 + -4x

Combine like terms: -5 + 5 = 0
0 + y = 28 + 5 + -4x
y = 28 + 5 + -4x

Combine like terms: 28 + 5 = 33
y = 33 + -4x

Simplifying
y = 33 + -4x

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