y-5=2(x-7)

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Solution for y-5=2(x-7) equation:


Simplifying
y + -5 = 2(x + -7)

Reorder the terms:
-5 + y = 2(x + -7)

Reorder the terms:
-5 + y = 2(-7 + x)
-5 + y = (-7 * 2 + x * 2)
-5 + y = (-14 + 2x)

Solving
-5 + y = -14 + 2x

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 = -14 + 5 + 2x

Combine like terms: -5 + 5 = 0
0 + y = -14 + 5 + 2x
y = -14 + 5 + 2x

Combine like terms: -14 + 5 = -9
y = -9 + 2x

Simplifying
y = -9 + 2x

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