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Simplifying -8(4y + 2) = 18 + 32y Reorder the terms: -8(2 + 4y) = 18 + 32y (2 * -8 + 4y * -8) = 18 + 32y (-16 + -32y) = 18 + 32y Solving -16 + -32y = 18 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. -16 + -32y + -32y = 18 + 32y + -32y Combine like terms: -32y + -32y = -64y -16 + -64y = 18 + 32y + -32y Combine like terms: 32y + -32y = 0 -16 + -64y = 18 + 0 -16 + -64y = 18 Add '16' to each side of the equation. -16 + 16 + -64y = 18 + 16 Combine like terms: -16 + 16 = 0 0 + -64y = 18 + 16 -64y = 18 + 16 Combine like terms: 18 + 16 = 34 -64y = 34 Divide each side by '-64'. y = -0.53125 Simplifying y = -0.53125
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