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Simplifying 3y(4y + -6) + 15 = 6y(2y + -4) + -27 Reorder the terms: 3y(-6 + 4y) + 15 = 6y(2y + -4) + -27 (-6 * 3y + 4y * 3y) + 15 = 6y(2y + -4) + -27 (-18y + 12y2) + 15 = 6y(2y + -4) + -27 Reorder the terms: 15 + -18y + 12y2 = 6y(2y + -4) + -27 Reorder the terms: 15 + -18y + 12y2 = 6y(-4 + 2y) + -27 15 + -18y + 12y2 = (-4 * 6y + 2y * 6y) + -27 15 + -18y + 12y2 = (-24y + 12y2) + -27 Reorder the terms: 15 + -18y + 12y2 = -27 + -24y + 12y2 Add '-12y2' to each side of the equation. 15 + -18y + 12y2 + -12y2 = -27 + -24y + 12y2 + -12y2 Combine like terms: 12y2 + -12y2 = 0 15 + -18y + 0 = -27 + -24y + 12y2 + -12y2 15 + -18y = -27 + -24y + 12y2 + -12y2 Combine like terms: 12y2 + -12y2 = 0 15 + -18y = -27 + -24y + 0 15 + -18y = -27 + -24y Solving 15 + -18y = -27 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. 15 + -18y + 24y = -27 + -24y + 24y Combine like terms: -18y + 24y = 6y 15 + 6y = -27 + -24y + 24y Combine like terms: -24y + 24y = 0 15 + 6y = -27 + 0 15 + 6y = -27 Add '-15' to each side of the equation. 15 + -15 + 6y = -27 + -15 Combine like terms: 15 + -15 = 0 0 + 6y = -27 + -15 6y = -27 + -15 Combine like terms: -27 + -15 = -42 6y = -42 Divide each side by '6'. y = -7 Simplifying y = -7
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