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Simplifying 2y = 5y2 + -7 Reorder the terms: 2y = -7 + 5y2 Solving 2y = -7 + 5y2 Solving for variable 'y'. Reorder the terms: 7 + 2y + -5y2 = -7 + 5y2 + 7 + -5y2 Reorder the terms: 7 + 2y + -5y2 = -7 + 7 + 5y2 + -5y2 Combine like terms: -7 + 7 = 0 7 + 2y + -5y2 = 0 + 5y2 + -5y2 7 + 2y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 7 + 2y + -5y2 = 0 Factor a trinomial. (7 + -5y)(1 + y) = 0Subproblem 1
Set the factor '(7 + -5y)' equal to zero and attempt to solve: Simplifying 7 + -5y = 0 Solving 7 + -5y = 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 + -5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = 0 + -7 -5y = 0 + -7 Combine like terms: 0 + -7 = -7 -5y = -7 Divide each side by '-5'. y = 1.4 Simplifying y = 1.4Subproblem 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 = {1.4, -1}
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