y^2+my+60=(y+10)(y+6)

Solution for y^2+my+60=(y+10)(y+6) equation:

Simplifying
y2 + my + 60 = (y + 10)(y + 6)

Reorder the terms:
60 + my + y2 = (y + 10)(y + 6)

Reorder the terms:
60 + my + y2 = (10 + y)(y + 6)

Reorder the terms:
60 + my + y2 = (10 + y)(6 + y)

Multiply (10 + y) * (6 + y)
60 + my + y2 = (10(6 + y) + y(6 + y))
60 + my + y2 = ((6 * 10 + y * 10) + y(6 + y))
60 + my + y2 = ((60 + 10y) + y(6 + y))
60 + my + y2 = (60 + 10y + (6 * y + y * y))
60 + my + y2 = (60 + 10y + (6y + y2))

Combine like terms: 10y + 6y = 16y
60 + my + y2 = (60 + 16y + y2)

Add '-60' to each side of the equation.
60 + my + -60 + y2 = 60 + 16y + -60 + y2

Reorder the terms:
60 + -60 + my + y2 = 60 + 16y + -60 + y2

Combine like terms: 60 + -60 = 0
0 + my + y2 = 60 + 16y + -60 + y2
my + y2 = 60 + 16y + -60 + y2

Reorder the terms:
my + y2 = 60 + -60 + 16y + y2

Combine like terms: 60 + -60 = 0
my + y2 = 0 + 16y + y2
my + y2 = 16y + y2

Add '-1y2' to each side of the equation.
my + y2 + -1y2 = 16y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
my + 0 = 16y + y2 + -1y2
my = 16y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
my = 16y + 0
my = 16y

Solving
my = 16y

Solving for variable 'm'.

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

Divide each side by 'y'.
m = 16

Simplifying
m = 16