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Simplifying 8y + -3 = 5(y + -1) + y Reorder the terms: -3 + 8y = 5(y + -1) + y Reorder the terms: -3 + 8y = 5(-1 + y) + y -3 + 8y = (-1 * 5 + y * 5) + y -3 + 8y = (-5 + 5y) + y Combine like terms: 5y + y = 6y -3 + 8y = -5 + 6y Solving -3 + 8y = -5 + 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. -3 + 8y + -6y = -5 + 6y + -6y Combine like terms: 8y + -6y = 2y -3 + 2y = -5 + 6y + -6y Combine like terms: 6y + -6y = 0 -3 + 2y = -5 + 0 -3 + 2y = -5 Add '3' to each side of the equation. -3 + 3 + 2y = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = -5 + 3 2y = -5 + 3 Combine like terms: -5 + 3 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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