(2-3y)(5y+1)=

Solution for (2-3y)(5y+1)= equation:

Simplifying
(2 + -3y)(5y + 1) = 0

Reorder the terms:
(2 + -3y)(1 + 5y) = 0

Multiply (2 + -3y) * (1 + 5y)
(2(1 + 5y) + -3y * (1 + 5y)) = 0
((1 * 2 + 5y * 2) + -3y * (1 + 5y)) = 0
((2 + 10y) + -3y * (1 + 5y)) = 0
(2 + 10y + (1 * -3y + 5y * -3y)) = 0
(2 + 10y + (-3y + -15y2)) = 0

Combine like terms: 10y + -3y = 7y
(2 + 7y + -15y2) = 0

Solving
2 + 7y + -15y2 = 0

Solving for variable 'y'.

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

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

Simplifying
2 + -3y = 0

Solving
2 + -3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3y = 0 + -2
-3y = 0 + -2

Combine like terms: 0 + -2 = -2
-3y = -2

Divide each side by '-3'.
y = 0.6666666667

Simplifying
y = 0.6666666667
Subproblem 2
Set the factor '(1 + 5y)' equal to zero and attempt to solve:

Simplifying
1 + 5y = 0

Solving
1 + 5y = 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 + 5y = 0 + -1

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

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

Divide each side by '5'.
y = -0.2

Simplifying
y = -0.2
Solution
y = {0.6666666667, -0.2}