y-3=5x-2

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Solution for y-3=5x-2 equation: 


Simplifying
y + -3 = 5x + -2

Reorder the terms:
-3 + y = 5x + -2

Reorder the terms:
-3 + y = -2 + 5x

Solving
-3 + y = -2 + 5x

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + y = -2 + 3 + 5x

Combine like terms: -3 + 3 = 0
0 + y = -2 + 3 + 5x
y = -2 + 3 + 5x

Combine like terms: -2 + 3 = 1
y = 1 + 5x

Simplifying
y = 1 + 5x

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