(Y-7)=2(x-4)

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Solution for (Y-7)=2(x-4) equation:


Simplifying
(Y + -7) = 2(x + -4)

Reorder the terms:
(-7 + Y) = 2(x + -4)

Remove parenthesis around (-7 + Y)
-7 + Y = 2(x + -4)

Reorder the terms:
-7 + Y = 2(-4 + x)
-7 + Y = (-4 * 2 + x * 2)
-7 + Y = (-8 + 2x)

Solving
-7 + Y = -8 + 2x

Solving for variable 'Y'.

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

Add '7' to each side of the equation.
-7 + 7 + Y = -8 + 7 + 2x

Combine like terms: -7 + 7 = 0
0 + Y = -8 + 7 + 2x
Y = -8 + 7 + 2x

Combine like terms: -8 + 7 = -1
Y = -1 + 2x

Simplifying
Y = -1 + 2x

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