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Simplifying 8y + -9 + 2(4y + 3) = -2(y + 9) Reorder the terms: 8y + -9 + 2(3 + 4y) = -2(y + 9) 8y + -9 + (3 * 2 + 4y * 2) = -2(y + 9) 8y + -9 + (6 + 8y) = -2(y + 9) Reorder the terms: -9 + 6 + 8y + 8y = -2(y + 9) Combine like terms: -9 + 6 = -3 -3 + 8y + 8y = -2(y + 9) Combine like terms: 8y + 8y = 16y -3 + 16y = -2(y + 9) Reorder the terms: -3 + 16y = -2(9 + y) -3 + 16y = (9 * -2 + y * -2) -3 + 16y = (-18 + -2y) Solving -3 + 16y = -18 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -3 + 16y + 2y = -18 + -2y + 2y Combine like terms: 16y + 2y = 18y -3 + 18y = -18 + -2y + 2y Combine like terms: -2y + 2y = 0 -3 + 18y = -18 + 0 -3 + 18y = -18 Add '3' to each side of the equation. -3 + 3 + 18y = -18 + 3 Combine like terms: -3 + 3 = 0 0 + 18y = -18 + 3 18y = -18 + 3 Combine like terms: -18 + 3 = -15 18y = -15 Divide each side by '18'. y = -0.8333333333 Simplifying y = -0.8333333333
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