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Simplifying (8 + -1y4)(8 + y4) = 0 Multiply (8 + -1y4) * (8 + y4) (8(8 + y4) + -1y4 * (8 + y4)) = 0 ((8 * 8 + y4 * 8) + -1y4 * (8 + y4)) = 0 ((64 + 8y4) + -1y4 * (8 + y4)) = 0 (64 + 8y4 + (8 * -1y4 + y4 * -1y4)) = 0 (64 + 8y4 + (-8y4 + -1y8)) = 0 Combine like terms: 8y4 + -8y4 = 0 (64 + 0 + -1y8) = 0 (64 + -1y8) = 0 Solving 64 + -1y8 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -1y8 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -1y8 = 0 + -64 -1y8 = 0 + -64 Combine like terms: 0 + -64 = -64 -1y8 = -64 Divide each side by '-1'. y8 = 64 Simplifying y8 = 64 Reorder the terms: -64 + y8 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + y8 = 0 Factor a difference between two squares. (8 + y4)(-8 + y4) = 0Subproblem 1
Set the factor '(8 + y4)' equal to zero and attempt to solve: Simplifying 8 + y4 = 0 Solving 8 + y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y4 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y4 = 0 + -8 y4 = 0 + -8 Combine like terms: 0 + -8 = -8 y4 = -8 Simplifying y4 = -8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-8 + y4)' equal to zero and attempt to solve: Simplifying -8 + y4 = 0 Solving -8 + y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + y4 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + y4 = 0 + 8 y4 = 0 + 8 Combine like terms: 0 + 8 = 8 y4 = 8 Simplifying y4 = 8 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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