1.5y-6=1.25(x+6)

Solution for 1.5y-6=1.25(x+6) equation:

Simplifying
1.5y + -6 = 1.25(x + 6)

Reorder the terms:
-6 + 1.5y = 1.25(x + 6)

Reorder the terms:
-6 + 1.5y = 1.25(6 + x)
-6 + 1.5y = (6 * 1.25 + x * 1.25)
-6 + 1.5y = (7.5 + 1.25x)

Solving
-6 + 1.5y = 7.5 + 1.25x

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 + 1.5y = 7.5 + 6 + 1.25x

Combine like terms: -6 + 6 = 0
0 + 1.5y = 7.5 + 6 + 1.25x
1.5y = 7.5 + 6 + 1.25x

Combine like terms: 7.5 + 6 = 13.5
1.5y = 13.5 + 1.25x

Divide each side by '1.5'.
y = 9 + 0.8333333333x

Simplifying
y = 9 + 0.8333333333x