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Simplifying (y + 4)(y + 14) + -1y(y + 10) = 216 Reorder the terms: (4 + y)(y + 14) + -1y(y + 10) = 216 Reorder the terms: (4 + y)(14 + y) + -1y(y + 10) = 216 Multiply (4 + y) * (14 + y) (4(14 + y) + y(14 + y)) + -1y(y + 10) = 216 ((14 * 4 + y * 4) + y(14 + y)) + -1y(y + 10) = 216 ((56 + 4y) + y(14 + y)) + -1y(y + 10) = 216 (56 + 4y + (14 * y + y * y)) + -1y(y + 10) = 216 (56 + 4y + (14y + y2)) + -1y(y + 10) = 216 Combine like terms: 4y + 14y = 18y (56 + 18y + y2) + -1y(y + 10) = 216 Reorder the terms: 56 + 18y + y2 + -1y(10 + y) = 216 56 + 18y + y2 + (10 * -1y + y * -1y) = 216 56 + 18y + y2 + (-10y + -1y2) = 216 Reorder the terms: 56 + 18y + -10y + y2 + -1y2 = 216 Combine like terms: 18y + -10y = 8y 56 + 8y + y2 + -1y2 = 216 Combine like terms: y2 + -1y2 = 0 56 + 8y + 0 = 216 56 + 8y = 216 Solving 56 + 8y = 216 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 8y = 216 + -56 Combine like terms: 56 + -56 = 0 0 + 8y = 216 + -56 8y = 216 + -56 Combine like terms: 216 + -56 = 160 8y = 160 Divide each side by '8'. y = 20 Simplifying y = 20
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