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Simplifying -3y = 4y2 + -1 Reorder the terms: -3y = -1 + 4y2 Solving -3y = -1 + 4y2 Solving for variable 'y'. Reorder the terms: 1 + -3y + -4y2 = -1 + 4y2 + 1 + -4y2 Reorder the terms: 1 + -3y + -4y2 = -1 + 1 + 4y2 + -4y2 Combine like terms: -1 + 1 = 0 1 + -3y + -4y2 = 0 + 4y2 + -4y2 1 + -3y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 1 + -3y + -4y2 = 0 Factor a trinomial. (1 + -4y)(1 + y) = 0Subproblem 1
Set the factor '(1 + -4y)' equal to zero and attempt to solve: Simplifying 1 + -4y = 0 Solving 1 + -4y = 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 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Divide each side by '-4'. y = 0.25 Simplifying y = 0.25Subproblem 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 = {0.25, -1}
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