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Simplifying 22 + -2(4 + -1y) = (7 + -3y) * x(-10) 22 + (4 * -2 + -1y * -2) = (7 + -3y) * x(-10) 22 + (-8 + 2y) = (7 + -3y) * x(-10) Combine like terms: 22 + -8 = 14 14 + 2y = (7 + -3y) * x(-10) Reorder the terms for easier multiplication: 14 + 2y = -10x(7 + -3y) 14 + 2y = (7 * -10x + -3y * -10x) 14 + 2y = (-70x + 30xy) Solving 14 + 2y = -70x + 30xy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30xy' to each side of the equation. 14 + -30xy + 2y = -70x + 30xy + -30xy Combine like terms: 30xy + -30xy = 0 14 + -30xy + 2y = -70x + 0 14 + -30xy + 2y = -70x Add '-14' to each side of the equation. 14 + -30xy + -14 + 2y = -14 + -70x Reorder the terms: 14 + -14 + -30xy + 2y = -14 + -70x Combine like terms: 14 + -14 = 0 0 + -30xy + 2y = -14 + -70x -30xy + 2y = -14 + -70x Reorder the terms: 14 + 70x + -30xy + 2y = -14 + -70x + 14 + 70x Reorder the terms: 14 + 70x + -30xy + 2y = -14 + 14 + -70x + 70x Combine like terms: -14 + 14 = 0 14 + 70x + -30xy + 2y = 0 + -70x + 70x 14 + 70x + -30xy + 2y = -70x + 70x Combine like terms: -70x + 70x = 0 14 + 70x + -30xy + 2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 35x + -15xy + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + 35x + -15xy + y)' equal to zero and attempt to solve: Simplifying 7 + 35x + -15xy + y = 0 Solving 7 + 35x + -15xy + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 35x + -15xy + -7 + y = 0 + -7 Reorder the terms: 7 + -7 + 35x + -15xy + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 35x + -15xy + y = 0 + -7 35x + -15xy + y = 0 + -7 Combine like terms: 0 + -7 = -7 35x + -15xy + y = -7 Add '-35x' to each side of the equation. 35x + -15xy + -35x + y = -7 + -35x Reorder the terms: 35x + -35x + -15xy + y = -7 + -35x Combine like terms: 35x + -35x = 0 0 + -15xy + y = -7 + -35x -15xy + y = -7 + -35x 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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