6(y+1)=21(x-1)

Solution for 6(y+1)=21(x-1) equation:

Simplifying
6(y + 1) = 21(x + -1)

Reorder the terms:
6(1 + y) = 21(x + -1)
(1 * 6 + y * 6) = 21(x + -1)
(6 + 6y) = 21(x + -1)

Reorder the terms:
6 + 6y = 21(-1 + x)
6 + 6y = (-1 * 21 + x * 21)
6 + 6y = (-21 + 21x)

Solving
6 + 6y = -21 + 21x

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 + 6y = -21 + -6 + 21x

Combine like terms: 6 + -6 = 0
0 + 6y = -21 + -6 + 21x
6y = -21 + -6 + 21x

Combine like terms: -21 + -6 = -27
6y = -27 + 21x

Divide each side by '6'.
y = -4.5 + 3.5x

Simplifying
y = -4.5 + 3.5x