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Simplifying y(y + -4) + 2y = y(y + 12) + -7 Reorder the terms: y(-4 + y) + 2y = y(y + 12) + -7 (-4 * y + y * y) + 2y = y(y + 12) + -7 (-4y + y2) + 2y = y(y + 12) + -7 Reorder the terms: -4y + 2y + y2 = y(y + 12) + -7 Combine like terms: -4y + 2y = -2y -2y + y2 = y(y + 12) + -7 Reorder the terms: -2y + y2 = y(12 + y) + -7 -2y + y2 = (12 * y + y * y) + -7 -2y + y2 = (12y + y2) + -7 Reorder the terms: -2y + y2 = -7 + 12y + y2 Add '-1y2' to each side of the equation. -2y + y2 + -1y2 = -7 + 12y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -2y + 0 = -7 + 12y + y2 + -1y2 -2y = -7 + 12y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -2y = -7 + 12y + 0 -2y = -7 + 12y Solving -2y = -7 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -2y + -12y = -7 + 12y + -12y Combine like terms: -2y + -12y = -14y -14y = -7 + 12y + -12y Combine like terms: 12y + -12y = 0 -14y = -7 + 0 -14y = -7 Divide each side by '-14'. y = 0.5 Simplifying y = 0.5
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