y-4=8(x-7)

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Solution for y-4=8(x-7) equation:


Simplifying
y + -4 = 8(x + -7)

Reorder the terms:
-4 + y = 8(x + -7)

Reorder the terms:
-4 + y = 8(-7 + x)
-4 + y = (-7 * 8 + x * 8)
-4 + y = (-56 + 8x)

Solving
-4 + y = -56 + 8x

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 = -56 + 4 + 8x

Combine like terms: -4 + 4 = 0
0 + y = -56 + 4 + 8x
y = -56 + 4 + 8x

Combine like terms: -56 + 4 = -52
y = -52 + 8x

Simplifying
y = -52 + 8x

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