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Simplifying -81y = 5(y2 + -76) Reorder the terms: -81y = 5(-76 + y2) -81y = (-76 * 5 + y2 * 5) -81y = (-380 + 5y2) Solving -81y = -380 + 5y2 Solving for variable 'y'. Reorder the terms: 380 + -81y + -5y2 = -380 + 5y2 + 380 + -5y2 Reorder the terms: 380 + -81y + -5y2 = -380 + 380 + 5y2 + -5y2 Combine like terms: -380 + 380 = 0 380 + -81y + -5y2 = 0 + 5y2 + -5y2 380 + -81y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 380 + -81y + -5y2 = 0 Factor a trinomial. (19 + -5y)(20 + y) = 0Subproblem 1
Set the factor '(19 + -5y)' equal to zero and attempt to solve: Simplifying 19 + -5y = 0 Solving 19 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -5y = 0 + -19 -5y = 0 + -19 Combine like terms: 0 + -19 = -19 -5y = -19 Divide each side by '-5'. y = 3.8 Simplifying y = 3.8Subproblem 2
Set the factor '(20 + y)' equal to zero and attempt to solve: Simplifying 20 + y = 0 Solving 20 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + y = 0 + -20 y = 0 + -20 Combine like terms: 0 + -20 = -20 y = -20 Simplifying y = -20Solution
y = {3.8, -20}
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