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Simplifying 4(8 + -1y) = 2(y + 8) (8 * 4 + -1y * 4) = 2(y + 8) (32 + -4y) = 2(y + 8) Reorder the terms: 32 + -4y = 2(8 + y) 32 + -4y = (8 * 2 + y * 2) 32 + -4y = (16 + 2y) Solving 32 + -4y = 16 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 32 + -4y + -2y = 16 + 2y + -2y Combine like terms: -4y + -2y = -6y 32 + -6y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 32 + -6y = 16 + 0 32 + -6y = 16 Add '-32' to each side of the equation. 32 + -32 + -6y = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -6y = 16 + -32 -6y = 16 + -32 Combine like terms: 16 + -32 = -16 -6y = -16 Divide each side by '-6'. y = 2.666666667 Simplifying y = 2.666666667
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