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

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


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

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

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

Multiply (-7 + 4y) * (2 + y)
(-7(2 + y) + 4y * (2 + y)) = 0
((2 * -7 + y * -7) + 4y * (2 + y)) = 0
((-14 + -7y) + 4y * (2 + y)) = 0
(-14 + -7y + (2 * 4y + y * 4y)) = 0
(-14 + -7y + (8y + 4y2)) = 0

Combine like terms: -7y + 8y = 1y
(-14 + 1y + 4y2) = 0

Solving
-14 + 1y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -1y)(7 + -4y) = 0


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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 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 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

Subproblem 2
Set the factor '(7 + -4y)' equal to zero and attempt to solve:

Simplifying
7 + -4y = 0

Solving
7 + -4y = 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 + -4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4y = 0 + -7
-4y = 0 + -7

Combine like terms: 0 + -7 = -7
-4y = -7

Divide each side by '-4'.
y = 1.75

Simplifying
y = 1.75
Solution
y = {-2, 1.75}

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