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Simplifying 19y + -5y2 = 18 Solving 19y + -5y2 = 18 Solving for variable 'y'. Reorder the terms: -18 + 19y + -5y2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 19y + -5y2 = 0 Factor a trinomial. (-2 + y)(9 + -5y) = 0Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Subproblem 2
Set the factor '(9 + -5y)' equal to zero and attempt to solve: Simplifying 9 + -5y = 0 Solving 9 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5y = 0 + -9 -5y = 0 + -9 Combine like terms: 0 + -9 = -9 -5y = -9 Divide each side by '-5'. y = 1.8 Simplifying y = 1.8Solution
y = {2, 1.8}
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