32=4(3y-5)findy

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Solution for 32=4(3y-5)findy equation:


Simplifying
32 = 4(3y + -5) * findy

Reorder the terms:
32 = 4(-5 + 3y) * findy

Reorder the terms for easier multiplication:
32 = 4dfiny(-5 + 3y)
32 = (-5 * 4dfiny + 3y * 4dfiny)
32 = (-20dfiny + 12dfiny2)

Solving
32 = -20dfiny + 12dfiny2

Solving for variable 'd'.

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

Add '20dfiny' to each side of the equation.
32 + 20dfiny = -20dfiny + 20dfiny + 12dfiny2

Combine like terms: -20dfiny + 20dfiny = 0
32 + 20dfiny = 0 + 12dfiny2
32 + 20dfiny = 12dfiny2

Add '-12dfiny2' to each side of the equation.
32 + 20dfiny + -12dfiny2 = 12dfiny2 + -12dfiny2

Combine like terms: 12dfiny2 + -12dfiny2 = 0
32 + 20dfiny + -12dfiny2 = 0

Add '-32' to each side of the equation.
32 + 20dfiny + -32 + -12dfiny2 = 0 + -32

Reorder the terms:
32 + -32 + 20dfiny + -12dfiny2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 20dfiny + -12dfiny2 = 0 + -32
20dfiny + -12dfiny2 = 0 + -32

Combine like terms: 0 + -32 = -32
20dfiny + -12dfiny2 = -32

Reorder the terms:
32 + 20dfiny + -12dfiny2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + 20dfiny + -12dfiny2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + 5dfiny + -3dfiny2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(8 + 5dfiny + -3dfiny2)' equal to zero and attempt to solve: Simplifying 8 + 5dfiny + -3dfiny2 = 0 Solving 8 + 5dfiny + -3dfiny2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5dfiny + -8 + -3dfiny2 = 0 + -8 Reorder the terms: 8 + -8 + 5dfiny + -3dfiny2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5dfiny + -3dfiny2 = 0 + -8 5dfiny + -3dfiny2 = 0 + -8 Combine like terms: 0 + -8 = -8 5dfiny + -3dfiny2 = -8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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