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Simplifying 8y(y + -1) + 4y(3 + -2y) + -5 = 6y + 1 Reorder the terms: 8y(-1 + y) + 4y(3 + -2y) + -5 = 6y + 1 (-1 * 8y + y * 8y) + 4y(3 + -2y) + -5 = 6y + 1 (-8y + 8y2) + 4y(3 + -2y) + -5 = 6y + 1 -8y + 8y2 + (3 * 4y + -2y * 4y) + -5 = 6y + 1 -8y + 8y2 + (12y + -8y2) + -5 = 6y + 1 Reorder the terms: -5 + -8y + 12y + 8y2 + -8y2 = 6y + 1 Combine like terms: -8y + 12y = 4y -5 + 4y + 8y2 + -8y2 = 6y + 1 Combine like terms: 8y2 + -8y2 = 0 -5 + 4y + 0 = 6y + 1 -5 + 4y = 6y + 1 Reorder the terms: -5 + 4y = 1 + 6y Solving -5 + 4y = 1 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -5 + 4y + -6y = 1 + 6y + -6y Combine like terms: 4y + -6y = -2y -5 + -2y = 1 + 6y + -6y Combine like terms: 6y + -6y = 0 -5 + -2y = 1 + 0 -5 + -2y = 1 Add '5' to each side of the equation. -5 + 5 + -2y = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 1 + 5 -2y = 1 + 5 Combine like terms: 1 + 5 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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