2-(y+2)=ey

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Solution for 2-(y+2)=ey equation:


Simplifying
2 + -1(y + 2) = ey

Reorder the terms:
2 + -1(2 + y) = ey
2 + (2 * -1 + y * -1) = ey
2 + (-2 + -1y) = ey

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

Solving
-1y = ey

Solving for variable 'y'.

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

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

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

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

Ignore the factor -1.

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 '(e + 1)' equal to zero and attempt to solve: Simplifying e + 1 = 0 Reorder the terms: 1 + e = 0 Solving 1 + e = 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 + e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e = 0 + -1 e = 0 + -1 Combine like terms: 0 + -1 = -1 e = -1 Add '-1e' to each side of the equation. e + -1e = -1 + -1e Combine like terms: e + -1e = 0 0 = -1 + -1e Simplifying 0 = -1 + -1e 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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