6(y+3)=10xy

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Solution for 6(y+3)=10xy equation:


Simplifying
6(y + 3) = 10xy

Reorder the terms:
6(3 + y) = 10xy
(3 * 6 + y * 6) = 10xy
(18 + 6y) = 10xy

Solving
18 + 6y = 10xy

Solving for variable 'y'.

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

Add '-10xy' to each side of the equation.
18 + -10xy + 6y = 10xy + -10xy

Combine like terms: 10xy + -10xy = 0
18 + -10xy + 6y = 0

Add '-18' to each side of the equation.
18 + -10xy + -18 + 6y = 0 + -18

Reorder the terms:
18 + -18 + -10xy + 6y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -10xy + 6y = 0 + -18
-10xy + 6y = 0 + -18

Combine like terms: 0 + -18 = -18
-10xy + 6y = -18

Reorder the terms:
18 + -10xy + 6y = -18 + 18

Combine like terms: -18 + 18 = 0
18 + -10xy + 6y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -5xy + 3y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + -5xy + 3y)' equal to zero and attempt to solve: Simplifying 9 + -5xy + 3y = 0 Solving 9 + -5xy + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -5xy + -9 + 3y = 0 + -9 Reorder the terms: 9 + -9 + -5xy + 3y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5xy + 3y = 0 + -9 -5xy + 3y = 0 + -9 Combine like terms: 0 + -9 = -9 -5xy + 3y = -9 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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