y-5=3(x-5)

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


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

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

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

Solving
-5 + y = -15 + 3x

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 = -15 + 5 + 3x

Combine like terms: -5 + 5 = 0
0 + y = -15 + 5 + 3x
y = -15 + 5 + 3x

Combine like terms: -15 + 5 = -10
y = -10 + 3x

Simplifying
y = -10 + 3x

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