Y-5=mx-2

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Solution for Y-5=mx-2 equation: 


Simplifying
Y + -5 = mx + -2

Reorder the terms:
-5 + Y = mx + -2

Reorder the terms:
-5 + Y = -2 + mx

Solving
-5 + Y = -2 + mx

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 = -2 + 5 + mx

Combine like terms: -5 + 5 = 0
0 + Y = -2 + 5 + mx
Y = -2 + 5 + mx

Combine like terms: -2 + 5 = 3
Y = 3 + mx

Simplifying
Y = 3 + mx

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