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Simplifying 17y + -1y2 = 30 Solving 17y + -1y2 = 30 Solving for variable 'y'. Reorder the terms: -30 + 17y + -1y2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 17y + -1y2 = 0 Factor a trinomial. (-15 + y)(2 + -1y) = 0Subproblem 1
Set the factor '(-15 + y)' equal to zero and attempt to solve: Simplifying -15 + y = 0 Solving -15 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + y = 0 + 15 y = 0 + 15 Combine like terms: 0 + 15 = 15 y = 15 Simplifying y = 15Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {15, 2}
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