Y+6=3(x-7)

Solution for Y+6=3(x-7) equation:

Simplifying
Y + 6 = 3(x + -7)

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

Reorder the terms:
6 + Y = 3(-7 + x)
6 + Y = (-7 * 3 + x * 3)
6 + Y = (-21 + 3x)

Solving
6 + Y = -21 + 3x

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 = -21 + -6 + 3x

Combine like terms: 6 + -6 = 0
0 + Y = -21 + -6 + 3x
Y = -21 + -6 + 3x

Combine like terms: -21 + -6 = -27
Y = -27 + 3x

Simplifying
Y = -27 + 3x