59=y^2+10

Solution for 59=y^2+10 equation:

Simplifying
59 = y2 + 10

Reorder the terms:
59 = 10 + y2

Solving
59 = 10 + y2

Solving for variable 'y'.

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

Add '-1y2' to each side of the equation.
59 + -1y2 = 10 + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
59 + -1y2 = 10 + 0
59 + -1y2 = 10

Add '-59' to each side of the equation.
59 + -59 + -1y2 = 10 + -59

Combine like terms: 59 + -59 = 0
0 + -1y2 = 10 + -59
-1y2 = 10 + -59

Combine like terms: 10 + -59 = -49
-1y2 = -49

Divide each side by '-1'.
y2 = 49

Simplifying
y2 = 49

Take the square root of each side:
y = {-7, 7}