3(y+5)=2y+15+yC

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Solution for 3(y+5)=2y+15+yC equation: 


Simplifying
3(y + 5) = 2y + 15 + yC

Reorder the terms:
3(5 + y) = 2y + 15 + yC
(5 * 3 + y * 3) = 2y + 15 + yC
(15 + 3y) = 2y + 15 + yC

Reorder the terms:
15 + 3y = 15 + 2y + yC

Add '-15' to each side of the equation.
15 + -15 + 3y = 15 + 2y + -15 + yC

Combine like terms: 15 + -15 = 0
0 + 3y = 15 + 2y + -15 + yC
3y = 15 + 2y + -15 + yC

Reorder the terms:
3y = 15 + -15 + 2y + yC

Combine like terms: 15 + -15 = 0
3y = 0 + 2y + yC
3y = 2y + yC

Solving
3y = 2y + yC

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
3y + -2y = 2y + -2y + yC

Combine like terms: 3y + -2y = 1y
1y = 2y + -2y + yC

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

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

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

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + -1C) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

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

Simplifying
1 + -1C = 0

Solving
1 + -1C = 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 + -1C = 0 + -1

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

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

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

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

Simplifying
0 = -1 + C

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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