y-3=5(x-2)

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


Simplifying
y + -3 = 5(x + -2)

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

Reorder the terms:
-3 + y = 5(-2 + x)
-3 + y = (-2 * 5 + x * 5)
-3 + y = (-10 + 5x)

Solving
-3 + y = -10 + 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 = -10 + 3 + 5x

Combine like terms: -3 + 3 = 0
0 + y = -10 + 3 + 5x
y = -10 + 3 + 5x

Combine like terms: -10 + 3 = -7
y = -7 + 5x

Simplifying
y = -7 + 5x

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