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Simplifying 8(2 + -4(y + -1)) = 8(2y + 9) Reorder the terms: 8(2 + -4(-1 + y)) = 8(2y + 9) 8(2 + (-1 * -4 + y * -4)) = 8(2y + 9) 8(2 + (4 + -4y)) = 8(2y + 9) Combine like terms: 2 + 4 = 6 8(6 + -4y) = 8(2y + 9) (6 * 8 + -4y * 8) = 8(2y + 9) (48 + -32y) = 8(2y + 9) Reorder the terms: 48 + -32y = 8(9 + 2y) 48 + -32y = (9 * 8 + 2y * 8) 48 + -32y = (72 + 16y) Solving 48 + -32y = 72 + 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. 48 + -32y + -16y = 72 + 16y + -16y Combine like terms: -32y + -16y = -48y 48 + -48y = 72 + 16y + -16y Combine like terms: 16y + -16y = 0 48 + -48y = 72 + 0 48 + -48y = 72 Add '-48' to each side of the equation. 48 + -48 + -48y = 72 + -48 Combine like terms: 48 + -48 = 0 0 + -48y = 72 + -48 -48y = 72 + -48 Combine like terms: 72 + -48 = 24 -48y = 24 Divide each side by '-48'. y = -0.5 Simplifying y = -0.5
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