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Simplifying (y + -4)(y + 7) = y(y + -3) Reorder the terms: (-4 + y)(y + 7) = y(y + -3) Reorder the terms: (-4 + y)(7 + y) = y(y + -3) Multiply (-4 + y) * (7 + y) (-4(7 + y) + y(7 + y)) = y(y + -3) ((7 * -4 + y * -4) + y(7 + y)) = y(y + -3) ((-28 + -4y) + y(7 + y)) = y(y + -3) (-28 + -4y + (7 * y + y * y)) = y(y + -3) (-28 + -4y + (7y + y2)) = y(y + -3) Combine like terms: -4y + 7y = 3y (-28 + 3y + y2) = y(y + -3) Reorder the terms: -28 + 3y + y2 = y(-3 + y) -28 + 3y + y2 = (-3 * y + y * y) -28 + 3y + y2 = (-3y + y2) Add '-1y2' to each side of the equation. -28 + 3y + y2 + -1y2 = -3y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -28 + 3y + 0 = -3y + y2 + -1y2 -28 + 3y = -3y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -28 + 3y = -3y + 0 -28 + 3y = -3y Solving -28 + 3y = -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -28 + 3y + 3y = -3y + 3y Combine like terms: 3y + 3y = 6y -28 + 6y = -3y + 3y Combine like terms: -3y + 3y = 0 -28 + 6y = 0 Add '28' to each side of the equation. -28 + 28 + 6y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 6y = 0 + 28 6y = 0 + 28 Combine like terms: 0 + 28 = 28 6y = 28 Divide each side by '6'. y = 4.666666667 Simplifying y = 4.666666667
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