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Simplifying 8(y + -1) = 6y + 2 Reorder the terms: 8(-1 + y) = 6y + 2 (-1 * 8 + y * 8) = 6y + 2 (-8 + 8y) = 6y + 2 Reorder the terms: -8 + 8y = 2 + 6y Solving -8 + 8y = 2 + 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. -8 + 8y + -6y = 2 + 6y + -6y Combine like terms: 8y + -6y = 2y -8 + 2y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + 2y = 2 + 0 -8 + 2y = 2 Add '8' to each side of the equation. -8 + 8 + 2y = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = 2 + 8 2y = 2 + 8 Combine like terms: 2 + 8 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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