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Simplifying -8(2y + -4) = (4 + -2y) * 9 Reorder the terms: -8(-4 + 2y) = (4 + -2y) * 9 (-4 * -8 + 2y * -8) = (4 + -2y) * 9 (32 + -16y) = (4 + -2y) * 9 Reorder the terms for easier multiplication: 32 + -16y = 9(4 + -2y) 32 + -16y = (4 * 9 + -2y * 9) 32 + -16y = (36 + -18y) Solving 32 + -16y = 36 + -18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18y' to each side of the equation. 32 + -16y + 18y = 36 + -18y + 18y Combine like terms: -16y + 18y = 2y 32 + 2y = 36 + -18y + 18y Combine like terms: -18y + 18y = 0 32 + 2y = 36 + 0 32 + 2y = 36 Add '-32' to each side of the equation. 32 + -32 + 2y = 36 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 36 + -32 2y = 36 + -32 Combine like terms: 36 + -32 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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