(4y+3)(2y-7)=

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Solution for (4y+3)(2y-7)= equation: 


Simplifying
(4y + 3)(2y + -7) = 0

Reorder the terms:
(3 + 4y)(2y + -7) = 0

Reorder the terms:
(3 + 4y)(-7 + 2y) = 0

Multiply (3 + 4y) * (-7 + 2y)
(3(-7 + 2y) + 4y * (-7 + 2y)) = 0
((-7 * 3 + 2y * 3) + 4y * (-7 + 2y)) = 0
((-21 + 6y) + 4y * (-7 + 2y)) = 0
(-21 + 6y + (-7 * 4y + 2y * 4y)) = 0
(-21 + 6y + (-28y + 8y2)) = 0

Combine like terms: 6y + -28y = -22y
(-21 + -22y + 8y2) = 0

Solving
-21 + -22y + 8y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -4y)(7 + -2y) = 0


Subproblem 1
Set the factor '(-3 + -4y)' equal to zero and attempt to solve:

Simplifying
-3 + -4y = 0

Solving
-3 + -4y = 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 + -4y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4y = 0 + 3
-4y = 0 + 3

Combine like terms: 0 + 3 = 3
-4y = 3

Divide each side by '-4'.
y = -0.75

Simplifying
y = -0.75

Subproblem 2
Set the factor '(7 + -2y)' equal to zero and attempt to solve:

Simplifying
7 + -2y = 0

Solving
7 + -2y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = 0 + -7
-2y = 0 + -7

Combine like terms: 0 + -7 = -7
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5
Solution
y = {-0.75, 3.5}

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