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Simplifying log2y + -4 = -1log2(y + 6) Reorder the terms: -4 + g2loy = -1log2(y + 6) Reorder the terms: -4 + g2loy = -1g2lo(6 + y) -4 + g2loy = (6 * -1g2lo + y * -1g2lo) -4 + g2loy = (-6g2lo + -1g2loy) Solving -4 + g2loy = -6g2lo + -1g2loy Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6g2lo' to each side of the equation. -4 + 6g2lo + g2loy = -6g2lo + 6g2lo + -1g2loy Combine like terms: -6g2lo + 6g2lo = 0 -4 + 6g2lo + g2loy = 0 + -1g2loy -4 + 6g2lo + g2loy = -1g2loy Add 'g2loy' to each side of the equation. -4 + 6g2lo + g2loy + g2loy = -1g2loy + g2loy Combine like terms: g2loy + g2loy = 2g2loy -4 + 6g2lo + 2g2loy = -1g2loy + g2loy Combine like terms: -1g2loy + g2loy = 0 -4 + 6g2lo + 2g2loy = 0 Add '4' to each side of the equation. -4 + 6g2lo + 4 + 2g2loy = 0 + 4 Reorder the terms: -4 + 4 + 6g2lo + 2g2loy = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6g2lo + 2g2loy = 0 + 4 6g2lo + 2g2loy = 0 + 4 Combine like terms: 0 + 4 = 4 6g2lo + 2g2loy = 4 Reorder the terms: -4 + 6g2lo + 2g2loy = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 6g2lo + 2g2loy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 3g2lo + g2loy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 3g2lo + g2loy)' equal to zero and attempt to solve: Simplifying -2 + 3g2lo + g2loy = 0 Solving -2 + 3g2lo + g2loy = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3g2lo + 2 + g2loy = 0 + 2 Reorder the terms: -2 + 2 + 3g2lo + g2loy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3g2lo + g2loy = 0 + 2 3g2lo + g2loy = 0 + 2 Combine like terms: 0 + 2 = 2 3g2lo + g2loy = 2 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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