y-7=3(x-3)

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Solution for y-7=3(x-3) equation:


Simplifying
y + -7 = 3(x + -3)

Reorder the terms:
-7 + y = 3(x + -3)

Reorder the terms:
-7 + y = 3(-3 + x)
-7 + y = (-3 * 3 + x * 3)
-7 + y = (-9 + 3x)

Solving
-7 + y = -9 + 3x

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 = -9 + 7 + 3x

Combine like terms: -7 + 7 = 0
0 + y = -9 + 7 + 3x
y = -9 + 7 + 3x

Combine like terms: -9 + 7 = -2
y = -2 + 3x

Simplifying
y = -2 + 3x

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