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Simplifying y(y + 7) + 3y = y(y + 3) + -14 Reorder the terms: y(7 + y) + 3y = y(y + 3) + -14 (7 * y + y * y) + 3y = y(y + 3) + -14 (7y + y2) + 3y = y(y + 3) + -14 Reorder the terms: 7y + 3y + y2 = y(y + 3) + -14 Combine like terms: 7y + 3y = 10y 10y + y2 = y(y + 3) + -14 Reorder the terms: 10y + y2 = y(3 + y) + -14 10y + y2 = (3 * y + y * y) + -14 10y + y2 = (3y + y2) + -14 Reorder the terms: 10y + y2 = -14 + 3y + y2 Add '-1y2' to each side of the equation. 10y + y2 + -1y2 = -14 + 3y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 10y + 0 = -14 + 3y + y2 + -1y2 10y = -14 + 3y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 10y = -14 + 3y + 0 10y = -14 + 3y Solving 10y = -14 + 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. 10y + -3y = -14 + 3y + -3y Combine like terms: 10y + -3y = 7y 7y = -14 + 3y + -3y Combine like terms: 3y + -3y = 0 7y = -14 + 0 7y = -14 Divide each side by '7'. y = -2 Simplifying y = -2
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