(15y+5)(y-1)=

Solution for (15y+5)(y-1)= equation:

Simplifying
(15y + 5)(y + -1) = 0

Reorder the terms:
(5 + 15y)(y + -1) = 0

Reorder the terms:
(5 + 15y)(-1 + y) = 0

Multiply (5 + 15y) * (-1 + y)
(5(-1 + y) + 15y * (-1 + y)) = 0
((-1 * 5 + y * 5) + 15y * (-1 + y)) = 0
((-5 + 5y) + 15y * (-1 + y)) = 0
(-5 + 5y + (-1 * 15y + y * 15y)) = 0
(-5 + 5y + (-15y + 15y2)) = 0

Combine like terms: 5y + -15y = -10y
(-5 + -10y + 15y2) = 0

Solving
-5 + -10y + 15y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + -2y + 3y2) = 0

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

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

Simplifying
-1 + -3y = 0

Solving
-1 + -3y = 0

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

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

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

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

Divide each side by '-3'.
y = -0.3333333333

Simplifying
y = -0.3333333333
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

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

Simplifying
y = 1
Solution
y = {-0.3333333333, 1}