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Simplifying 16(y + 2) = 2(7y + 8) Reorder the terms: 16(2 + y) = 2(7y + 8) (2 * 16 + y * 16) = 2(7y + 8) (32 + 16y) = 2(7y + 8) Reorder the terms: 32 + 16y = 2(8 + 7y) 32 + 16y = (8 * 2 + 7y * 2) 32 + 16y = (16 + 14y) Solving 32 + 16y = 16 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 32 + 16y + -14y = 16 + 14y + -14y Combine like terms: 16y + -14y = 2y 32 + 2y = 16 + 14y + -14y Combine like terms: 14y + -14y = 0 32 + 2y = 16 + 0 32 + 2y = 16 Add '-32' to each side of the equation. 32 + -32 + 2y = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 16 + -32 2y = 16 + -32 Combine like terms: 16 + -32 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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