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Simplifying 5y + 2(3y + -1) = xy + -1(y + 2) Reorder the terms: 5y + 2(-1 + 3y) = xy + -1(y + 2) 5y + (-1 * 2 + 3y * 2) = xy + -1(y + 2) 5y + (-2 + 6y) = xy + -1(y + 2) Reorder the terms: -2 + 5y + 6y = xy + -1(y + 2) Combine like terms: 5y + 6y = 11y -2 + 11y = xy + -1(y + 2) Reorder the terms: -2 + 11y = xy + -1(2 + y) -2 + 11y = xy + (2 * -1 + y * -1) -2 + 11y = xy + (-2 + -1y) Reorder the terms: -2 + 11y = -2 + xy + -1y Add '2' to each side of the equation. -2 + 2 + 11y = -2 + xy + 2 + -1y Combine like terms: -2 + 2 = 0 0 + 11y = -2 + xy + 2 + -1y 11y = -2 + xy + 2 + -1y Reorder the terms: 11y = -2 + 2 + xy + -1y Combine like terms: -2 + 2 = 0 11y = 0 + xy + -1y 11y = xy + -1y Solving 11y = xy + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1xy' to each side of the equation. -1xy + 11y = xy + -1xy + -1y Combine like terms: xy + -1xy = 0 -1xy + 11y = 0 + -1y -1xy + 11y = -1y Add 'y' to each side of the equation. -1xy + 11y + y = -1y + y Combine like terms: 11y + y = 12y -1xy + 12y = -1y + y Combine like terms: -1y + y = 0 -1xy + 12y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-1x + 12) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-1x + 12)' equal to zero and attempt to solve: Simplifying -1x + 12 = 0 Reorder the terms: 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Add 'x' to each side of the equation. -1x + x = -12 + x Combine like terms: -1x + x = 0 0 = -12 + x Simplifying 0 = -12 + x 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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