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Simplifying -3(4y + -3) = 2(1 + -8y) + 9 Reorder the terms: -3(-3 + 4y) = 2(1 + -8y) + 9 (-3 * -3 + 4y * -3) = 2(1 + -8y) + 9 (9 + -12y) = 2(1 + -8y) + 9 9 + -12y = (1 * 2 + -8y * 2) + 9 9 + -12y = (2 + -16y) + 9 Reorder the terms: 9 + -12y = 2 + 9 + -16y Combine like terms: 2 + 9 = 11 9 + -12y = 11 + -16y Solving 9 + -12y = 11 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. 9 + -12y + 16y = 11 + -16y + 16y Combine like terms: -12y + 16y = 4y 9 + 4y = 11 + -16y + 16y Combine like terms: -16y + 16y = 0 9 + 4y = 11 + 0 9 + 4y = 11 Add '-9' to each side of the equation. 9 + -9 + 4y = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 11 + -9 4y = 11 + -9 Combine like terms: 11 + -9 = 2 4y = 2 Divide each side by '4'. y = 0.5 Simplifying y = 0.5
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