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Simplifying 6y + -17 = -5(y + -1) Reorder the terms: -17 + 6y = -5(y + -1) Reorder the terms: -17 + 6y = -5(-1 + y) -17 + 6y = (-1 * -5 + y * -5) -17 + 6y = (5 + -5y) Solving -17 + 6y = 5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -17 + 6y + 5y = 5 + -5y + 5y Combine like terms: 6y + 5y = 11y -17 + 11y = 5 + -5y + 5y Combine like terms: -5y + 5y = 0 -17 + 11y = 5 + 0 -17 + 11y = 5 Add '17' to each side of the equation. -17 + 17 + 11y = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 11y = 5 + 17 11y = 5 + 17 Combine like terms: 5 + 17 = 22 11y = 22 Divide each side by '11'. y = 2 Simplifying y = 2
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