y+6=.75(x+3)

Solution for y+6=.75(x+3) equation:

Simplifying
y + 6 = 0.75(x + 3)

Reorder the terms:
6 + y = 0.75(x + 3)

Reorder the terms:
6 + y = 0.75(3 + x)
6 + y = (3 * 0.75 + x * 0.75)
6 + y = (2.25 + 0.75x)

Solving
6 + y = 2.25 + 0.75x

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 = 2.25 + -6 + 0.75x

Combine like terms: 6 + -6 = 0
0 + y = 2.25 + -6 + 0.75x
y = 2.25 + -6 + 0.75x

Combine like terms: 2.25 + -6 = -3.75
y = -3.75 + 0.75x

Simplifying
y = -3.75 + 0.75x