y*y-19y+4=70

Solution for y*y-19y+4=70 equation:

Simplifying
y * y + -19y + 4 = 70

Multiply y * y
y2 + -19y + 4 = 70

Reorder the terms:
4 + -19y + y2 = 70

Solving
4 + -19y + y2 = 70

Solving for variable 'y'.

Reorder the terms:
4 + -70 + -19y + y2 = 70 + -70

Combine like terms: 4 + -70 = -66
-66 + -19y + y2 = 70 + -70

Combine like terms: 70 + -70 = 0
-66 + -19y + y2 = 0

Factor a trinomial.
(-3 + -1y)(22 + -1y) = 0

Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve:

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 0 + 3
-1y = 0 + 3

Combine like terms: 0 + 3 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3
Subproblem 2
Set the factor '(22 + -1y)' equal to zero and attempt to solve:

Simplifying
22 + -1y = 0

Solving
22 + -1y = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1y = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1y = 0 + -22
-1y = 0 + -22

Combine like terms: 0 + -22 = -22
-1y = -22

Divide each side by '-1'.
y = 22

Simplifying
y = 22
Solution
y = {-3, 22}