(y-10)=4(x-10)

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Solution for (y-10)=4(x-10) equation:


Simplifying
(y + -10) = 4(x + -10)

Reorder the terms:
(-10 + y) = 4(x + -10)

Remove parenthesis around (-10 + y)
-10 + y = 4(x + -10)

Reorder the terms:
-10 + y = 4(-10 + x)
-10 + y = (-10 * 4 + x * 4)
-10 + y = (-40 + 4x)

Solving
-10 + y = -40 + 4x

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + y = -40 + 10 + 4x

Combine like terms: -10 + 10 = 0
0 + y = -40 + 10 + 4x
y = -40 + 10 + 4x

Combine like terms: -40 + 10 = -30
y = -30 + 4x

Simplifying
y = -30 + 4x

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