Simplifying
75 + -3.5y + -4y = 4y + 6
Combine like terms: -3.5y + -4y = -7.5y
75 + -7.5y = 4y + 6
Reorder the terms:
75 + -7.5y = 6 + 4y
Solving
75 + -7.5y = 6 + 4y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-4y' to each side of the equation.
75 + -7.5y + -4y = 6 + 4y + -4y
Combine like terms: -7.5y + -4y = -11.5y
75 + -11.5y = 6 + 4y + -4y
Combine like terms: 4y + -4y = 0
75 + -11.5y = 6 + 0
75 + -11.5y = 6
Add '-75' to each side of the equation.
75 + -75 + -11.5y = 6 + -75
Combine like terms: 75 + -75 = 0
0 + -11.5y = 6 + -75
-11.5y = 6 + -75
Combine like terms: 6 + -75 = -69
-11.5y = -69
Divide each side by '-11.5'.
y = 6