(3y-1)(y+2)=26

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Solution for (3y-1)(y+2)=26 equation: 


Simplifying
(3y + -1)(y + 2) = 26

Reorder the terms:
(-1 + 3y)(y + 2) = 26

Reorder the terms:
(-1 + 3y)(2 + y) = 26

Multiply (-1 + 3y) * (2 + y)
(-1(2 + y) + 3y * (2 + y)) = 26
((2 * -1 + y * -1) + 3y * (2 + y)) = 26
((-2 + -1y) + 3y * (2 + y)) = 26
(-2 + -1y + (2 * 3y + y * 3y)) = 26
(-2 + -1y + (6y + 3y2)) = 26

Combine like terms: -1y + 6y = 5y
(-2 + 5y + 3y2) = 26

Solving
-2 + 5y + 3y2 = 26

Solving for variable 'y'.

Reorder the terms:
-2 + -26 + 5y + 3y2 = 26 + -26

Combine like terms: -2 + -26 = -28
-28 + 5y + 3y2 = 26 + -26

Combine like terms: 26 + -26 = 0
-28 + 5y + 3y2 = 0

Factor a trinomial.
(-4 + -1y)(7 + -3y) = 0


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

Simplifying
-4 + -1y = 0

Solving
-4 + -1y = 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 + -1y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = 0 + 4
-1y = 0 + 4

Combine like terms: 0 + 4 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4

Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve:

Simplifying
7 + -3y = 0

Solving
7 + -3y = 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 + -3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = 0 + -7
-3y = 0 + -7

Combine like terms: 0 + -7 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333
Solution
y = {-4, 2.333333333}

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