Y-6=5(x-3)

Solution for Y-6=5(x-3) equation:

Simplifying
Y + -6 = 5(x + -3)

Reorder the terms:
-6 + Y = 5(x + -3)

Reorder the terms:
-6 + Y = 5(-3 + x)
-6 + Y = (-3 * 5 + x * 5)
-6 + Y = (-15 + 5x)

Solving
-6 + Y = -15 + 5x

Solving for variable 'Y'.

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

Add '6' to each side of the equation.
-6 + 6 + Y = -15 + 6 + 5x

Combine like terms: -6 + 6 = 0
0 + Y = -15 + 6 + 5x
Y = -15 + 6 + 5x

Combine like terms: -15 + 6 = -9
Y = -9 + 5x

Simplifying
Y = -9 + 5x