(4-y)(3y-2)=0

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Solution for (4-y)(3y-2)=0 equation: 


Simplifying
(4 + -1y)(3y + -2) = 0

Reorder the terms:
(4 + -1y)(-2 + 3y) = 0

Multiply (4 + -1y) * (-2 + 3y)
(4(-2 + 3y) + -1y * (-2 + 3y)) = 0
((-2 * 4 + 3y * 4) + -1y * (-2 + 3y)) = 0
((-8 + 12y) + -1y * (-2 + 3y)) = 0
(-8 + 12y + (-2 * -1y + 3y * -1y)) = 0
(-8 + 12y + (2y + -3y2)) = 0

Combine like terms: 12y + 2y = 14y
(-8 + 14y + -3y2) = 0

Solving
-8 + 14y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + y)(2 + -3y) = 0


Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve:

Simplifying
-4 + y = 0

Solving
-4 + y = 0

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

Add '4' to each side of the equation.
-4 + 4 + y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + y = 0 + 4
y = 0 + 4

Combine like terms: 0 + 4 = 4
y = 4

Simplifying
y = 4

Subproblem 2
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
Solution
y = {4, 0.6666666667}

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