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