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Simplifying 6y(y + -2) = 3y(2y + -1) + 27 Reorder the terms: 6y(-2 + y) = 3y(2y + -1) + 27 (-2 * 6y + y * 6y) = 3y(2y + -1) + 27 (-12y + 6y2) = 3y(2y + -1) + 27 Reorder the terms: -12y + 6y2 = 3y(-1 + 2y) + 27 -12y + 6y2 = (-1 * 3y + 2y * 3y) + 27 -12y + 6y2 = (-3y + 6y2) + 27 Reorder the terms: -12y + 6y2 = 27 + -3y + 6y2 Add '-6y2' to each side of the equation. -12y + 6y2 + -6y2 = 27 + -3y + 6y2 + -6y2 Combine like terms: 6y2 + -6y2 = 0 -12y + 0 = 27 + -3y + 6y2 + -6y2 -12y = 27 + -3y + 6y2 + -6y2 Combine like terms: 6y2 + -6y2 = 0 -12y = 27 + -3y + 0 -12y = 27 + -3y Solving -12y = 27 + -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. -12y + 3y = 27 + -3y + 3y Combine like terms: -12y + 3y = -9y -9y = 27 + -3y + 3y Combine like terms: -3y + 3y = 0 -9y = 27 + 0 -9y = 27 Divide each side by '-9'. y = -3 Simplifying y = -3
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