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Simplifying y(y + 12) + -8y = 14 + y(y + -4) Reorder the terms: y(12 + y) + -8y = 14 + y(y + -4) (12 * y + y * y) + -8y = 14 + y(y + -4) (12y + y2) + -8y = 14 + y(y + -4) Reorder the terms: 12y + -8y + y2 = 14 + y(y + -4) Combine like terms: 12y + -8y = 4y 4y + y2 = 14 + y(y + -4) Reorder the terms: 4y + y2 = 14 + y(-4 + y) 4y + y2 = 14 + (-4 * y + y * y) 4y + y2 = 14 + (-4y + y2) Add '-1y2' to each side of the equation. 4y + y2 + -1y2 = 14 + -4y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 4y + 0 = 14 + -4y + y2 + -1y2 4y = 14 + -4y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 4y = 14 + -4y + 0 4y = 14 + -4y Solving 4y = 14 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 4y + 4y = 14 + -4y + 4y Combine like terms: 4y + 4y = 8y 8y = 14 + -4y + 4y Combine like terms: -4y + 4y = 0 8y = 14 + 0 8y = 14 Divide each side by '8'. y = 1.75 Simplifying y = 1.75
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