y-7=1-3(x-9)

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Solution for y-7=1-3(x-9) equation:


Simplifying
y + -7 = 1 + -3(x + -9)

Reorder the terms:
-7 + y = 1 + -3(x + -9)

Reorder the terms:
-7 + y = 1 + -3(-9 + x)
-7 + y = 1 + (-9 * -3 + x * -3)
-7 + y = 1 + (27 + -3x)

Combine like terms: 1 + 27 = 28
-7 + y = 28 + -3x

Solving
-7 + y = 28 + -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 = 28 + 7 + -3x

Combine like terms: -7 + 7 = 0
0 + y = 28 + 7 + -3x
y = 28 + 7 + -3x

Combine like terms: 28 + 7 = 35
y = 35 + -3x

Simplifying
y = 35 + -3x

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