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Simplifying (7 + -1y)(7 + -1y) = 0 Multiply (7 + -1y) * (7 + -1y) (7(7 + -1y) + -1y * (7 + -1y)) = 0 ((7 * 7 + -1y * 7) + -1y * (7 + -1y)) = 0 ((49 + -7y) + -1y * (7 + -1y)) = 0 (49 + -7y + (7 * -1y + -1y * -1y)) = 0 (49 + -7y + (-7y + 1y^{2})) = 0 Combine like terms: -7y + -7y = -14y (49 + -14y + 1y^{2}) = 0 Solving 49 + -14y + 1y^{2}= 0 Solving for variable 'y'. Factor a trinomial. (7 + -1y)(7 + -1y) = 0## Subproblem 1

Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 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 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7## Subproblem 2

Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 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 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7## Solution

y = {7, 7}

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