(3y-4y+5)(y-3y+3)=

Solution for (3y-4y+5)(y-3y+3)= equation:

Simplifying
(3y + -4y + 5)(y + -3y + 3) = 0

Reorder the terms:
(5 + 3y + -4y)(y + -3y + 3) = 0

Combine like terms: 3y + -4y = -1y
(5 + -1y)(y + -3y + 3) = 0

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

Combine like terms: y + -3y = -2y
(5 + -1y)(3 + -2y) = 0

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

Combine like terms: -10y + -3y = -13y
(15 + -13y + 2y2) = 0

Solving
15 + -13y + 2y2 = 0

Solving for variable 'y'.

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

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

Simplifying
3 + -2y = 0

Solving
3 + -2y = 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 + -2y = 0 + -3

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

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

Divide each side by '-2'.
y = 1.5

Simplifying
y = 1.5
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 = {1.5, 5}