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Simplifying (y + -4)(y + 4) = 0 Reorder the terms: (-4 + y)(y + 4) = 0 Reorder the terms: (-4 + y)(4 + y) = 0 Multiply (-4 + y) * (4 + y) (-4(4 + y) + y(4 + y)) = 0 ((4 * -4 + y * -4) + y(4 + y)) = 0 ((-16 + -4y) + y(4 + y)) = 0 (-16 + -4y + (4 * y + y * y)) = 0 (-16 + -4y + (4y + y2)) = 0 Combine like terms: -4y + 4y = 0 (-16 + 0 + y2) = 0 (-16 + y2) = 0 Solving -16 + y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + y2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + y2 = 0 + 16 y2 = 0 + 16 Combine like terms: 0 + 16 = 16 y2 = 16 Simplifying y2 = 16 Take the square root of each side: y = {-4, 4}
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