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Simplifying -4y = 5y2 + -1 Reorder the terms: -4y = -1 + 5y2 Solving -4y = -1 + 5y2 Solving for variable 'y'. Reorder the terms: 1 + -4y + -5y2 = -1 + 5y2 + 1 + -5y2 Reorder the terms: 1 + -4y + -5y2 = -1 + 1 + 5y2 + -5y2 Combine like terms: -1 + 1 = 0 1 + -4y + -5y2 = 0 + 5y2 + -5y2 1 + -4y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 1 + -4y + -5y2 = 0 Factor a trinomial. (1 + -5y)(1 + y) = 0Subproblem 1
Set the factor '(1 + -5y)' equal to zero and attempt to solve: Simplifying 1 + -5y = 0 Solving 1 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = 0 + -1 -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -5y = -1 Divide each side by '-5'. y = 0.2 Simplifying y = 0.2Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {0.2, -1}
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