y^2+30-75=100

Solution for y^2+30-75=100 equation:

Simplifying
y2 + 30 + -75 = 100

Reorder the terms:
30 + -75 + y2 = 100

Combine like terms: 30 + -75 = -45
-45 + y2 = 100

Solving
-45 + y2 = 100

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '45' to each side of the equation.
-45 + 45 + y2 = 100 + 45

Combine like terms: -45 + 45 = 0
0 + y2 = 100 + 45
y2 = 100 + 45

Combine like terms: 100 + 45 = 145
y2 = 145

Simplifying
y2 = 145

Take the square root of each side:
y = {-12.041594579, 12.041594579}