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Simplifying -2(8 + -1y) = 3(8 + -2y) (8 * -2 + -1y * -2) = 3(8 + -2y) (-16 + 2y) = 3(8 + -2y) -16 + 2y = (8 * 3 + -2y * 3) -16 + 2y = (24 + -6y) Solving -16 + 2y = 24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -16 + 2y + 6y = 24 + -6y + 6y Combine like terms: 2y + 6y = 8y -16 + 8y = 24 + -6y + 6y Combine like terms: -6y + 6y = 0 -16 + 8y = 24 + 0 -16 + 8y = 24 Add '16' to each side of the equation. -16 + 16 + 8y = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 8y = 24 + 16 8y = 24 + 16 Combine like terms: 24 + 16 = 40 8y = 40 Divide each side by '8'. y = 5 Simplifying y = 5
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