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Simplifying 2y(7 + -1y) + 3y = 26 (7 * 2y + -1y * 2y) + 3y = 26 (14y + -2y2) + 3y = 26 Reorder the terms: 14y + 3y + -2y2 = 26 Combine like terms: 14y + 3y = 17y 17y + -2y2 = 26 Solving 17y + -2y2 = 26 Solving for variable 'y'. Reorder the terms: -26 + 17y + -2y2 = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + 17y + -2y2 = 0 Factor a trinomial. (-13 + 2y)(2 + -1y) = 0Subproblem 1
Set the factor '(-13 + 2y)' equal to zero and attempt to solve: Simplifying -13 + 2y = 0 Solving -13 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2y = 0 + 13 2y = 0 + 13 Combine like terms: 0 + 13 = 13 2y = 13 Divide each side by '2'. y = 6.5 Simplifying y = 6.5Subproblem 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 = {6.5, 2}
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