Y-9=3(x-5)

Solution for Y-9=3(x-5) equation:

Simplifying
Y + -9 = 3(x + -5)

Reorder the terms:
-9 + Y = 3(x + -5)

Reorder the terms:
-9 + Y = 3(-5 + x)
-9 + Y = (-5 * 3 + x * 3)
-9 + Y = (-15 + 3x)

Solving
-9 + Y = -15 + 3x

Solving for variable 'Y'.

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

Add '9' to each side of the equation.
-9 + 9 + Y = -15 + 9 + 3x

Combine like terms: -9 + 9 = 0
0 + Y = -15 + 9 + 3x
Y = -15 + 9 + 3x

Combine like terms: -15 + 9 = -6
Y = -6 + 3x

Simplifying
Y = -6 + 3x