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Simplifying y2 + -4 = 7y + -4 Reorder the terms: -4 + y2 = 7y + -4 Reorder the terms: -4 + y2 = -4 + 7y Add '4' to each side of the equation. -4 + 4 + y2 = -4 + 4 + 7y Combine like terms: -4 + 4 = 0 0 + y2 = -4 + 4 + 7y y2 = -4 + 4 + 7y Combine like terms: -4 + 4 = 0 y2 = 0 + 7y y2 = 7y Solving y2 = 7y Solving for variable 'y'. Reorder the terms: -7y + y2 = 7y + -7y Combine like terms: 7y + -7y = 0 -7y + y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-7 + y) = 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 '(-7 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + 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 + 7 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 y = 7 Simplifying y = 7Solution
y = {0, 7}
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