y^2+y-42=(y+7)

Solution for y^2+y-42=(y+7) equation:

Simplifying
y2 + y + -42 = (y + 7)

Reorder the terms:
-42 + y + y2 = (y + 7)

Reorder the terms:
-42 + y + y2 = (7 + y)

Remove parenthesis around (7 + y)
-42 + y + y2 = 7 + y

Add '-1y' to each side of the equation.
-42 + y + -1y + y2 = 7 + y + -1y

Combine like terms: y + -1y = 0
-42 + 0 + y2 = 7 + y + -1y
-42 + y2 = 7 + y + -1y

Combine like terms: y + -1y = 0
-42 + y2 = 7 + 0
-42 + y2 = 7

Solving
-42 + y2 = 7

Solving for variable 'y'.

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

Add '42' to each side of the equation.
-42 + 42 + y2 = 7 + 42

Combine like terms: -42 + 42 = 0
0 + y2 = 7 + 42
y2 = 7 + 42

Combine like terms: 7 + 42 = 49
y2 = 49

Simplifying
y2 = 49

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