(10y+6)(y-5)=

Solution for (10y+6)(y-5)= equation:

Simplifying
(10y + 6)(y + -5) = 0

Reorder the terms:
(6 + 10y)(y + -5) = 0

Reorder the terms:
(6 + 10y)(-5 + y) = 0

Multiply (6 + 10y) * (-5 + y)
(6(-5 + y) + 10y * (-5 + y)) = 0
((-5 * 6 + y * 6) + 10y * (-5 + y)) = 0
((-30 + 6y) + 10y * (-5 + y)) = 0
(-30 + 6y + (-5 * 10y + y * 10y)) = 0
(-30 + 6y + (-50y + 10y2)) = 0

Combine like terms: 6y + -50y = -44y
(-30 + -44y + 10y2) = 0

Solving
-30 + -44y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -22y + 5y2) = 0

Factor a trinomial.
2((-3 + -5y)(5 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -5y)' equal to zero and attempt to solve:

Simplifying
-3 + -5y = 0

Solving
-3 + -5y = 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 + -5y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5y = 0 + 3
-5y = 0 + 3

Combine like terms: 0 + 3 = 3
-5y = 3

Divide each side by '-5'.
y = -0.6

Simplifying
y = -0.6
Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-0.6, 5}