(3y+7)(1-y)=0

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Solution for (3y+7)(1-y)=0 equation: 


Simplifying
(3y + 7)(1 + -1y) = 0

Reorder the terms:
(7 + 3y)(1 + -1y) = 0

Multiply (7 + 3y) * (1 + -1y)
(7(1 + -1y) + 3y * (1 + -1y)) = 0
((1 * 7 + -1y * 7) + 3y * (1 + -1y)) = 0
((7 + -7y) + 3y * (1 + -1y)) = 0
(7 + -7y + (1 * 3y + -1y * 3y)) = 0
(7 + -7y + (3y + -3y2)) = 0

Combine like terms: -7y + 3y = -4y
(7 + -4y + -3y2) = 0

Solving
7 + -4y + -3y2 = 0

Solving for variable 'y'.

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


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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1y = 0 + -1

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

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

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

Simplifying
y = 1

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 = {1, -2.333333333}

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